15-45=3(x-4)-6

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Solution for 15-45=3(x-4)-6 equation: 


Simplifying
15 + -45 = 3(x + -4) + -6

Combine like terms: 15 + -45 = -30
-30 = 3(x + -4) + -6

Reorder the terms:
-30 = 3(-4 + x) + -6
-30 = (-4 * 3 + x * 3) + -6
-30 = (-12 + 3x) + -6

Reorder the terms:
-30 = -12 + -6 + 3x

Combine like terms: -12 + -6 = -18
-30 = -18 + 3x

Solving
-30 = -18 + 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.
-30 + -3x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + -3x = -18 + 0
-30 + -3x = -18

Add '30' to each side of the equation.
-30 + 30 + -3x = -18 + 30

Combine like terms: -30 + 30 = 0
0 + -3x = -18 + 30
-3x = -18 + 30

Combine like terms: -18 + 30 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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