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

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


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

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

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

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

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

Combine like terms: 2x + -12x = -10x
8 + -10x = 6x

Solving
8 + -10x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + -10x + -6x = 6x + -6x

Combine like terms: -10x + -6x = -16x
8 + -16x = 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -16x = 0

Add '-8' to each side of the equation.
8 + -8 + -16x = 0 + -8

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

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

Divide each side by '-16'.
x = 0.5

Simplifying
x = 0.5

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