5(3x-1)=2x-31

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Solution for 5(3x-1)=2x-31 equation:


Simplifying
5(3x + -1) = 2x + -31

Reorder the terms:
5(-1 + 3x) = 2x + -31
(-1 * 5 + 3x * 5) = 2x + -31
(-5 + 15x) = 2x + -31

Reorder the terms:
-5 + 15x = -31 + 2x

Solving
-5 + 15x = -31 + 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 = -31 + 2x + -2x

Combine like terms: 15x + -2x = 13x
-5 + 13x = -31 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 13x = -31 + 0
-5 + 13x = -31

Add '5' to each side of the equation.
-5 + 5 + 13x = -31 + 5

Combine like terms: -5 + 5 = 0
0 + 13x = -31 + 5
13x = -31 + 5

Combine like terms: -31 + 5 = -26
13x = -26

Divide each side by '13'.
x = -2

Simplifying
x = -2

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