4(5x-3)+4(x+1)=-3(2x+6)-2(x-1)

Solution for 4(5x-3)+4(x+1)=-3(2x+6)-2(x-1) equation:

Simplifying
4(5x + -3) + 4(x + 1) = -3(2x + 6) + -2(x + -1)

Reorder the terms:
4(-3 + 5x) + 4(x + 1) = -3(2x + 6) + -2(x + -1)
(-3 * 4 + 5x * 4) + 4(x + 1) = -3(2x + 6) + -2(x + -1)
(-12 + 20x) + 4(x + 1) = -3(2x + 6) + -2(x + -1)

Reorder the terms:
-12 + 20x + 4(1 + x) = -3(2x + 6) + -2(x + -1)
-12 + 20x + (1 * 4 + x * 4) = -3(2x + 6) + -2(x + -1)
-12 + 20x + (4 + 4x) = -3(2x + 6) + -2(x + -1)

Reorder the terms:
-12 + 4 + 20x + 4x = -3(2x + 6) + -2(x + -1)

Combine like terms: -12 + 4 = -8
-8 + 20x + 4x = -3(2x + 6) + -2(x + -1)

Combine like terms: 20x + 4x = 24x
-8 + 24x = -3(2x + 6) + -2(x + -1)

Reorder the terms:
-8 + 24x = -3(6 + 2x) + -2(x + -1)
-8 + 24x = (6 * -3 + 2x * -3) + -2(x + -1)
-8 + 24x = (-18 + -6x) + -2(x + -1)

Reorder the terms:
-8 + 24x = -18 + -6x + -2(-1 + x)
-8 + 24x = -18 + -6x + (-1 * -2 + x * -2)
-8 + 24x = -18 + -6x + (2 + -2x)

Reorder the terms:
-8 + 24x = -18 + 2 + -6x + -2x

Combine like terms: -18 + 2 = -16
-8 + 24x = -16 + -6x + -2x

Combine like terms: -6x + -2x = -8x
-8 + 24x = -16 + -8x

Solving
-8 + 24x = -16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-8 + 24x + 8x = -16 + -8x + 8x

Combine like terms: 24x + 8x = 32x
-8 + 32x = -16 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 32x = -16 + 0
-8 + 32x = -16

Add '8' to each side of the equation.
-8 + 8 + 32x = -16 + 8

Combine like terms: -8 + 8 = 0
0 + 32x = -16 + 8
32x = -16 + 8

Combine like terms: -16 + 8 = -8
32x = -8

Divide each side by '32'.
x = -0.25

Simplifying
x = -0.25