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

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


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

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

Combine like terms: 6x + -1x = 5x
15 + 5x = 6x + 6

Reorder the terms:
15 + 5x = 6 + 6x

Solving
15 + 5x = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 5x + -6x = 6 + 6x + -6x

Combine like terms: 5x + -6x = -1x
15 + -1x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -1x = 6 + 0
15 + -1x = 6

Add '-15' to each side of the equation.
15 + -15 + -1x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 6 + -15
-1x = 6 + -15

Combine like terms: 6 + -15 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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