2(x+5)-4-3(x+1)=(-2)(3-2x)-3(3-x)

Solution for 2(x+5)-4-3(x+1)=(-2)(3-2x)-3(3-x) equation:

Simplifying
2(x + 5) + -4 + -3(x + 1) = (-2)(3 + -2x) + -3(3 + -1x)

Reorder the terms:
2(5 + x) + -4 + -3(x + 1) = (-2)(3 + -2x) + -3(3 + -1x)
(5 * 2 + x * 2) + -4 + -3(x + 1) = (-2)(3 + -2x) + -3(3 + -1x)
(10 + 2x) + -4 + -3(x + 1) = (-2)(3 + -2x) + -3(3 + -1x)

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

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

Combine like terms: 10 + -4 = 6
6 + -3 + 2x + -3x = (-2)(3 + -2x) + -3(3 + -1x)

Combine like terms: 6 + -3 = 3
3 + 2x + -3x = (-2)(3 + -2x) + -3(3 + -1x)

Combine like terms: 2x + -3x = -1x
3 + -1x = (-2)(3 + -2x) + -3(3 + -1x)
3 + -1x = (3 * -2 + -2x * -2) + -3(3 + -1x)
3 + -1x = (-6 + 4x) + -3(3 + -1x)
3 + -1x = -6 + 4x + (3 * -3 + -1x * -3)
3 + -1x = -6 + 4x + (-9 + 3x)

Reorder the terms:
3 + -1x = -6 + -9 + 4x + 3x

Combine like terms: -6 + -9 = -15
3 + -1x = -15 + 4x + 3x

Combine like terms: 4x + 3x = 7x
3 + -1x = -15 + 7x

Solving
3 + -1x = -15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + -1x + -7x = -15 + 7x + -7x

Combine like terms: -1x + -7x = -8x
3 + -8x = -15 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -8x = -15 + 0
3 + -8x = -15

Add '-3' to each side of the equation.
3 + -3 + -8x = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = -15 + -3
-8x = -15 + -3

Combine like terms: -15 + -3 = -18
-8x = -18

Divide each side by '-8'.
x = 2.25

Simplifying
x = 2.25