Solve the equation. Check each solution by substituting it back into the original equation before submitting your quick check.
(g + 4) - 3g = 1 + g
(1 point)
O g= 1
O g=4
O no solution
• identity
To solve the equation, we can start by simplifying both sides:
(g + 4) - 3g = 1 + g
First, let's remove the parentheses by distributing -3 to both terms inside:
g + 4 - 3g = 1 + g
Next, let's combine like terms on each side:
-2g + 4 = 1 + g
To isolate the variable on one side, let's move all terms with g to the left side by subtracting g from both sides:
-2g - g + 4 = 1
Simplifying further:
-3g + 4 = 1
To isolate the variable, let's move the constant term to the right side by subtracting 4 from both sides:
-3g = 1 - 4
Simplifying further:
-3g = -3
Finally, to solve for g, we divide both sides by -3:
g = -3 / -3
Simplifying the division:
g = 1
Now, let's check if the solution is correct by substituting g = 1 back into the original equation:
(g + 4) - 3g = 1 + g
Substituting g = 1:
(1 + 4) - 3(1) = 1 + 1
Simplifying both sides:
5 - 3 = 2
Simplifying further:
2 = 2
Since both sides of the equation are equal when g = 1, we can conclude that the solution is correct.
Therefore, the solution to the equation is g = 1.
To solve the equation (g + 4) - 3g = 1 + g, we can start by simplifying both sides of the equation.
First, distribute the negative sign in front of 3g by applying the distributive property:
g + 4 - 3g = 1 + g
Next, combine like terms on each side:
(1 - 3)g + 4 = 1 + g
Simplify:
-2g + 4 = 1 + g
Now, let's isolate the variable g by moving all terms involving g to one side of the equation. We can do this by subtracting g from both sides:
-2g - g + 4 = 1 + g - g
Simplify:
-3g + 4 = 1
Next, subtract 4 from both sides:
-3g + 4 - 4 = 1 - 4
Simplify:
-3g = -3
Finally, divide both sides by -3 to solve for g:
g = -3 / -3
Simplify:
g = 1
To check if g = 1 is a valid solution, substitute it back into the original equation:
(g + 4) - 3g = 1 + g
Substituting g = 1:
(1 + 4) - 3(1) = 1 + 1
Simplifying:
5 - 3 = 2
The left side of the equation equals the right side, so g = 1 is a valid solution.
Therefore, the solution to the equation is g = 1.
To solve the equation (g + 4) - 3g = 1 + g, we will follow these steps:
Step 1: Distribute the negative sign by multiplying it with each term inside the parentheses.
g + 4 - 3g = 1 + g
Step 2: Combine like terms on both sides of the equation.
g - 3g + 4 = 1 + g
Step 3: Simplify the equation further.
-2g + 4 = 1 + g
Step 4: Bring the variable terms (g terms) to one side of the equation and constant terms to the other side.
-2g - g = 1 - 4
Step 5: Combine like terms.
-3g = -3
Step 6: Divide both sides of the equation by the coefficient of g to solve for g.
g = -3 / -3
Step 7: Simplify the expression.
g = 1
The solution to the equation is g = 1.
To check this solution, substitute g = 1 back into the original equation:
((1) + 4) - 3(1) = 1 + (1)
5 - 3 = 2
2 = 2
Since the left side of the equation is equal to the right side when g = 1, the solution is correct.
Therefore, the solution to the equation is g = 1.