-15x+3(x-4)+9x=3x-54

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Solution for -15x+3(x-4)+9x=3x-54 equation:


Simplifying
-15x + 3(x + -4) + 9x = 3x + -54

Reorder the terms:
-15x + 3(-4 + x) + 9x = 3x + -54
-15x + (-4 * 3 + x * 3) + 9x = 3x + -54
-15x + (-12 + 3x) + 9x = 3x + -54

Reorder the terms:
-12 + -15x + 3x + 9x = 3x + -54

Combine like terms: -15x + 3x = -12x
-12 + -12x + 9x = 3x + -54

Combine like terms: -12x + 9x = -3x
-12 + -3x = 3x + -54

Reorder the terms:
-12 + -3x = -54 + 3x

Solving
-12 + -3x = -54 + 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.
-12 + -3x + -3x = -54 + 3x + -3x

Combine like terms: -3x + -3x = -6x
-12 + -6x = -54 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + -6x = -54 + 0
-12 + -6x = -54

Add '12' to each side of the equation.
-12 + 12 + -6x = -54 + 12

Combine like terms: -12 + 12 = 0
0 + -6x = -54 + 12
-6x = -54 + 12

Combine like terms: -54 + 12 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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