Question

Solve the equation for x. 3x=(2x−2)(m+5)

Answer 1

`x=(-2m-10)/(-2m-7)`

Explanation:

Step 1: Write out equation

3x = (2x - 2)(m + 5)

Step 2: FOIL

3x = 2xm + 10x - 2m - 10

Step 3: Subtract 2xm on both sides

3x - 2xm = 10x - 2m - 10

Step 4: Subtract 10x on both sides

3x - 2xm - 10x = -2m - 10

Step 5: Factor out x

x(3 - 2m - 10) = -2m - 10

Step 6: Combine like terms in parenthesis

x(-2m - 7) = -2m - 10

Step 7: Divide both sides by -2m - 7

`x=(-2m-10)/(-2m-7)`