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

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


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

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

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

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

Combine like terms: 2 + 6 = 8
4 + 6x = 8 + 6x + -1x

Combine like terms: 6x + -1x = 5x
4 + 6x = 8 + 5x

Solving
4 + 6x = 8 + 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.
4 + 6x + -5x = 8 + 5x + -5x

Combine like terms: 6x + -5x = 1x
4 + 1x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 1x = 8 + 0
4 + 1x = 8

Add '-4' to each side of the equation.
4 + -4 + 1x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 8 + -4
1x = 8 + -4

Combine like terms: 8 + -4 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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