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

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


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

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

Combine like terms: 6x + -2x = 4x
6 + 4x = 3x + 8

Reorder the terms:
6 + 4x = 8 + 3x

Solving
6 + 4x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 4x + -3x = 8 + 3x + -3x

Combine like terms: 4x + -3x = 1x
6 + 1x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 1x = 8 + 0
6 + 1x = 8

Add '-6' to each side of the equation.
6 + -6 + 1x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 8 + -6
1x = 8 + -6

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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