-5(3x-29)=2(x-2)-55

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Solution for -5(3x-29)=2(x-2)-55 equation: 


Simplifying
-5(3x + -29) = 2(x + -2) + -55

Reorder the terms:
-5(-29 + 3x) = 2(x + -2) + -55
(-29 * -5 + 3x * -5) = 2(x + -2) + -55
(145 + -15x) = 2(x + -2) + -55

Reorder the terms:
145 + -15x = 2(-2 + x) + -55
145 + -15x = (-2 * 2 + x * 2) + -55
145 + -15x = (-4 + 2x) + -55

Reorder the terms:
145 + -15x = -4 + -55 + 2x

Combine like terms: -4 + -55 = -59
145 + -15x = -59 + 2x

Solving
145 + -15x = -59 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
145 + -15x + -2x = -59 + 2x + -2x

Combine like terms: -15x + -2x = -17x
145 + -17x = -59 + 2x + -2x

Combine like terms: 2x + -2x = 0
145 + -17x = -59 + 0
145 + -17x = -59

Add '-145' to each side of the equation.
145 + -145 + -17x = -59 + -145

Combine like terms: 145 + -145 = 0
0 + -17x = -59 + -145
-17x = -59 + -145

Combine like terms: -59 + -145 = -204
-17x = -204

Divide each side by '-17'.
x = 12

Simplifying
x = 12

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