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

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Solution for 3(x+5)-x=2(6+x)-2x equation: 


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

Reorder the terms:
3(5 + x) + -1x = 2(6 + x) + -2x
(5 * 3 + x * 3) + -1x = 2(6 + x) + -2x
(15 + 3x) + -1x = 2(6 + x) + -2x

Combine like terms: 3x + -1x = 2x
15 + 2x = 2(6 + x) + -2x
15 + 2x = (6 * 2 + x * 2) + -2x
15 + 2x = (12 + 2x) + -2x

Combine like terms: 2x + -2x = 0
15 + 2x = 12 + 0
15 + 2x = 12

Solving
15 + 2x = 12

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 12 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 12 + -15
2x = 12 + -15

Combine like terms: 12 + -15 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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