-2(2x-3)=3(x+1)+10

Solution for -2(2x-3)=3(x+1)+10 equation:

Simplifying
-2(2x + -3) = 3(x + 1) + 10

Reorder the terms:
-2(-3 + 2x) = 3(x + 1) + 10
(-3 * -2 + 2x * -2) = 3(x + 1) + 10
(6 + -4x) = 3(x + 1) + 10

Reorder the terms:
6 + -4x = 3(1 + x) + 10
6 + -4x = (1 * 3 + x * 3) + 10
6 + -4x = (3 + 3x) + 10

Reorder the terms:
6 + -4x = 3 + 10 + 3x

Combine like terms: 3 + 10 = 13
6 + -4x = 13 + 3x

Solving
6 + -4x = 13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + -4x + -3x = 13 + 3x + -3x

Combine like terms: -4x + -3x = -7x
6 + -7x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -7x = 13 + 0
6 + -7x = 13

Add '-6' to each side of the equation.
6 + -6 + -7x = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 13 + -6
-7x = 13 + -6

Combine like terms: 13 + -6 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1