15+6x=3(-x+9)-75

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Solution for 15+6x=3(-x+9)-75 equation:


Simplifying
15 + 6x = 3(-1x + 9) + -75

Reorder the terms:
15 + 6x = 3(9 + -1x) + -75
15 + 6x = (9 * 3 + -1x * 3) + -75
15 + 6x = (27 + -3x) + -75

Reorder the terms:
15 + 6x = 27 + -75 + -3x

Combine like terms: 27 + -75 = -48
15 + 6x = -48 + -3x

Solving
15 + 6x = -48 + -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.
15 + 6x + 3x = -48 + -3x + 3x

Combine like terms: 6x + 3x = 9x
15 + 9x = -48 + -3x + 3x

Combine like terms: -3x + 3x = 0
15 + 9x = -48 + 0
15 + 9x = -48

Add '-15' to each side of the equation.
15 + -15 + 9x = -48 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = -48 + -15
9x = -48 + -15

Combine like terms: -48 + -15 = -63
9x = -63

Divide each side by '9'.
x = -7

Simplifying
x = -7

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