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

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


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

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

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

Reorder the terms:
6 + 4 + 6x + -8x = x

Combine like terms: 6 + 4 = 10
10 + 6x + -8x = x

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

Solving
10 + -2x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -2x + -1x = x + -1x

Combine like terms: -2x + -1x = -3x
10 + -3x = x + -1x

Combine like terms: x + -1x = 0
10 + -3x = 0

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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