4(3x+1)-2=6x-2(x-8)

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Solution for 4(3x+1)-2=6x-2(x-8) equation:


Simplifying
4(3x + 1) + -2 = 6x + -2(x + -8)

Reorder the terms:
4(1 + 3x) + -2 = 6x + -2(x + -8)
(1 * 4 + 3x * 4) + -2 = 6x + -2(x + -8)
(4 + 12x) + -2 = 6x + -2(x + -8)

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

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

Reorder the terms:
2 + 12x = 6x + -2(-8 + x)
2 + 12x = 6x + (-8 * -2 + x * -2)
2 + 12x = 6x + (16 + -2x)

Reorder the terms:
2 + 12x = 16 + 6x + -2x

Combine like terms: 6x + -2x = 4x
2 + 12x = 16 + 4x

Solving
2 + 12x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 12x + -4x = 16 + 4x + -4x

Combine like terms: 12x + -4x = 8x
2 + 8x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 8x = 16 + 0
2 + 8x = 16

Add '-2' to each side of the equation.
2 + -2 + 8x = 16 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 16 + -2
8x = 16 + -2

Combine like terms: 16 + -2 = 14
8x = 14

Divide each side by '8'.
x = 1.75

Simplifying
x = 1.75

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