4(3x-1)-4(2x-3)=8(4+2x)

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Solution for 4(3x-1)-4(2x-3)=8(4+2x) equation:


Simplifying
4(3x + -1) + -4(2x + -3) = 8(4 + 2x)

Reorder the terms:
4(-1 + 3x) + -4(2x + -3) = 8(4 + 2x)
(-1 * 4 + 3x * 4) + -4(2x + -3) = 8(4 + 2x)
(-4 + 12x) + -4(2x + -3) = 8(4 + 2x)

Reorder the terms:
-4 + 12x + -4(-3 + 2x) = 8(4 + 2x)
-4 + 12x + (-3 * -4 + 2x * -4) = 8(4 + 2x)
-4 + 12x + (12 + -8x) = 8(4 + 2x)

Reorder the terms:
-4 + 12 + 12x + -8x = 8(4 + 2x)

Combine like terms: -4 + 12 = 8
8 + 12x + -8x = 8(4 + 2x)

Combine like terms: 12x + -8x = 4x
8 + 4x = 8(4 + 2x)
8 + 4x = (4 * 8 + 2x * 8)
8 + 4x = (32 + 16x)

Solving
8 + 4x = 32 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
8 + 4x + -16x = 32 + 16x + -16x

Combine like terms: 4x + -16x = -12x
8 + -12x = 32 + 16x + -16x

Combine like terms: 16x + -16x = 0
8 + -12x = 32 + 0
8 + -12x = 32

Add '-8' to each side of the equation.
8 + -8 + -12x = 32 + -8

Combine like terms: 8 + -8 = 0
0 + -12x = 32 + -8
-12x = 32 + -8

Combine like terms: 32 + -8 = 24
-12x = 24

Divide each side by '-12'.
x = -2

Simplifying
x = -2

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