5x+6=6(x+1)-2x

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Solution for 5x+6=6(x+1)-2x equation:


Simplifying
5x + 6 = 6(x + 1) + -2x

Reorder the terms:
6 + 5x = 6(x + 1) + -2x

Reorder the terms:
6 + 5x = 6(1 + x) + -2x
6 + 5x = (1 * 6 + x * 6) + -2x
6 + 5x = (6 + 6x) + -2x

Combine like terms: 6x + -2x = 4x
6 + 5x = 6 + 4x

Add '-6' to each side of the equation.
6 + -6 + 5x = 6 + -6 + 4x

Combine like terms: 6 + -6 = 0
0 + 5x = 6 + -6 + 4x
5x = 6 + -6 + 4x

Combine like terms: 6 + -6 = 0
5x = 0 + 4x
5x = 4x

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

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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