4-3(6x-4)+3x=2(x-8)+3x

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Solution for 4-3(6x-4)+3x=2(x-8)+3x equation:


Simplifying
4 + -3(6x + -4) + 3x = 2(x + -8) + 3x

Reorder the terms:
4 + -3(-4 + 6x) + 3x = 2(x + -8) + 3x
4 + (-4 * -3 + 6x * -3) + 3x = 2(x + -8) + 3x
4 + (12 + -18x) + 3x = 2(x + -8) + 3x

Combine like terms: 4 + 12 = 16
16 + -18x + 3x = 2(x + -8) + 3x

Combine like terms: -18x + 3x = -15x
16 + -15x = 2(x + -8) + 3x

Reorder the terms:
16 + -15x = 2(-8 + x) + 3x
16 + -15x = (-8 * 2 + x * 2) + 3x
16 + -15x = (-16 + 2x) + 3x

Combine like terms: 2x + 3x = 5x
16 + -15x = -16 + 5x

Solving
16 + -15x = -16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + -15x + -5x = -16 + 5x + -5x

Combine like terms: -15x + -5x = -20x
16 + -20x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -20x = -16 + 0
16 + -20x = -16

Add '-16' to each side of the equation.
16 + -16 + -20x = -16 + -16

Combine like terms: 16 + -16 = 0
0 + -20x = -16 + -16
-20x = -16 + -16

Combine like terms: -16 + -16 = -32
-20x = -32

Divide each side by '-20'.
x = 1.6

Simplifying
x = 1.6

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