Solve for x: 10x+5=7x−16
To solve for x, we need to simplify the equation by combining like terms and isolating the variable.
We start by subtracting 7x from both sides to eliminate the x term on the right side:
10x + 5 - 7x = 7x - 16 - 7x
Simplifying this gives:
3x + 5 = -16
Next, we subtract 5 from both sides:
3x + 5 - 5 = -16 - 5
Simplifying this gives:
3x = -21
Finally, divide both sides of the equation by 3 to solve for x:
(3x)/3 = -21/3
Simplifying this gives:
x = -7
Therefore, the solution to the equation is x = -7.
Solve for x: 13x+24=3x−26.
To solve for x in the equation 10x + 5 = 7x - 16, we need to isolate x on one side of the equation. Here are the steps to do that:
Step 1: Combine like terms
10x + 5 = 7x - 16
Step 2: Move the x terms to one side and the constant terms to the other side
10x - 7x = -16 - 5
(10 - 7)x = -21
Step 3: Simplify the equation
3x = -21
Step 4: Divide both sides of the equation by 3 to solve for x
(3x)/3 = -21/3
x = -7
So the solution to the equation is x = -7.
To solve for x in the equation 10x + 5 = 7x - 16, we can start by isolating the x terms on one side of the equation.
First, let's move the 7x term to the left side by subtracting 7x from both sides of the equation:
10x + 5 - 7x = 7x - 16 - 7x
Simplifying the equation gives:
3x + 5 = -16
Next, let's isolate the x term by moving the constant term (5) to the right side by subtracting 5 from both sides of the equation:
3x + 5 - 5 = -16 - 5
Simplifying the equation further gives:
3x = -21
Finally, we can solve for x by dividing both sides of the equation by the coefficient of x, which in this case is 3:
3x / 3 = -21 / 3
Simplifying the equation gives:
x = -7
Therefore, the solution to the equation 10x + 5 = 7x - 16 is x = -7.