-5(3x-1)=2(x-4)-55

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Solution for -5(3x-1)=2(x-4)-55 equation:


Simplifying
-5(3x + -1) = 2(x + -4) + -55

Reorder the terms:
-5(-1 + 3x) = 2(x + -4) + -55
(-1 * -5 + 3x * -5) = 2(x + -4) + -55
(5 + -15x) = 2(x + -4) + -55

Reorder the terms:
5 + -15x = 2(-4 + x) + -55
5 + -15x = (-4 * 2 + x * 2) + -55
5 + -15x = (-8 + 2x) + -55

Reorder the terms:
5 + -15x = -8 + -55 + 2x

Combine like terms: -8 + -55 = -63
5 + -15x = -63 + 2x

Solving
5 + -15x = -63 + 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.
5 + -15x + -2x = -63 + 2x + -2x

Combine like terms: -15x + -2x = -17x
5 + -17x = -63 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -17x = -63 + 0
5 + -17x = -63

Add '-5' to each side of the equation.
5 + -5 + -17x = -63 + -5

Combine like terms: 5 + -5 = 0
0 + -17x = -63 + -5
-17x = -63 + -5

Combine like terms: -63 + -5 = -68
-17x = -68

Divide each side by '-17'.
x = 4

Simplifying
x = 4

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