4(x + 5) - 5 = 8x+182
4(x + 5) - 5 = 8x + 182
We can distribute the 4 to both terms inside the parentheses:
4x + 20 - 5 = 8x + 182
Simplify the equation:
4x + 15 = 8x + 182
Now, we want to isolate the variable terms on one side of the equation.
Subtract 4x from both sides:
15 = 4x + 182
Subtract 182 from both sides:
-167 = 4x
Divide both sides by 4:
-167/4 = x
Thus, the solution is x = -167/4.
To solve the equation 4(x + 5) - 5 = 8x + 182, we can follow these steps:
Step 1: Distribute 4 to the terms inside the parentheses:
4(x + 5) = 4x + 20
The equation becomes: 4x + 20 - 5 = 8x + 182
Step 2: Combine like terms on both sides of the equation:
4x + 15 = 8x + 182
Step 3: Subtract 4x from both sides:
4x - 4x + 15 = 8x - 4x + 182
This simplifies to: 15 = 4x + 182
Step 4: Subtract 182 from both sides:
15 - 182 = 4x + 182 - 182
This simplifies to: -167 = 4x
Step 5: Divide both sides by 4 to solve for x:
(-167) / 4 = 4x / 4
This simplifies to: x = -41.75
Therefore, the solution to the equation 4(x + 5) - 5 = 8x + 182 is x = -41.75.
To solve the equation 4(x + 5) - 5 = 8x + 182, we will follow a step-by-step process.
Step 1: Distribute the 4 to the terms inside the parentheses.
4(x + 5) - 5 = 8x + 182
4x + 20 - 5 = 8x + 182
Step 2: Simplify both sides of the equation.
4x + 15 = 8x + 182
Step 3: Move the variables to one side and the constants to the other side of the equation.
To do this, we will subtract 4x from both sides of the equation and subtract 182 from both sides of the equation.
4x + 15 - 4x - 182 = 8x + 182 - 4x - 182
15 - 182 = 8x - 4x + 182 - 182
-167 = 4x
Step 4: Solve for x.
To solve for x, we will divide both sides of the equation by 4.
-167/4 = 4x/4
-41.75 = x
So, the solution to the given equation is x = -41.75.