5(2x-3)-6(x+2)=-7

Solution for 5(2x-3)-6(x+2)=-7 equation:

Simplifying
5(2x + -3) + -6(x + 2) = -7

Reorder the terms:
5(-3 + 2x) + -6(x + 2) = -7
(-3 * 5 + 2x * 5) + -6(x + 2) = -7
(-15 + 10x) + -6(x + 2) = -7

Reorder the terms:
-15 + 10x + -6(2 + x) = -7
-15 + 10x + (2 * -6 + x * -6) = -7
-15 + 10x + (-12 + -6x) = -7

Reorder the terms:
-15 + -12 + 10x + -6x = -7

Combine like terms: -15 + -12 = -27
-27 + 10x + -6x = -7

Combine like terms: 10x + -6x = 4x
-27 + 4x = -7

Solving
-27 + 4x = -7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '27' to each side of the equation.
-27 + 27 + 4x = -7 + 27

Combine like terms: -27 + 27 = 0
0 + 4x = -7 + 27
4x = -7 + 27

Combine like terms: -7 + 27 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5