(5x+6)-6=(2x+10)-4

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Solution for (5x+6)-6=(2x+10)-4 equation:


Simplifying
(5x + 6) + -6 = (2x + 10) + -4

Reorder the terms:
(6 + 5x) + -6 = (2x + 10) + -4

Remove parenthesis around (6 + 5x)
6 + 5x + -6 = (2x + 10) + -4

Reorder the terms:
6 + -6 + 5x = (2x + 10) + -4

Combine like terms: 6 + -6 = 0
0 + 5x = (2x + 10) + -4
5x = (2x + 10) + -4

Reorder the terms:
5x = (10 + 2x) + -4

Remove parenthesis around (10 + 2x)
5x = 10 + 2x + -4

Reorder the terms:
5x = 10 + -4 + 2x

Combine like terms: 10 + -4 = 6
5x = 6 + 2x

Solving
5x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5x + -2x = 6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
3x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
3x = 6 + 0
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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