-3(x-5)+2x=5(x+6)-45

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Solution for -3(x-5)+2x=5(x+6)-45 equation: 


Simplifying
-3(x + -5) + 2x = 5(x + 6) + -45

Reorder the terms:
-3(-5 + x) + 2x = 5(x + 6) + -45
(-5 * -3 + x * -3) + 2x = 5(x + 6) + -45
(15 + -3x) + 2x = 5(x + 6) + -45

Combine like terms: -3x + 2x = -1x
15 + -1x = 5(x + 6) + -45

Reorder the terms:
15 + -1x = 5(6 + x) + -45
15 + -1x = (6 * 5 + x * 5) + -45
15 + -1x = (30 + 5x) + -45

Reorder the terms:
15 + -1x = 30 + -45 + 5x

Combine like terms: 30 + -45 = -15
15 + -1x = -15 + 5x

Solving
15 + -1x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + -1x + -5x = -15 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
15 + -6x = -15 + 0
15 + -6x = -15

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

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

Combine like terms: -15 + -15 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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