-5(3x-5)=2(X-6)-31

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Solution for -5(3x-5)=2(X-6)-31 equation: 


Simplifying
-5(3x + -5) = 2(X + -6) + -31

Reorder the terms:
-5(-5 + 3x) = 2(X + -6) + -31
(-5 * -5 + 3x * -5) = 2(X + -6) + -31
(25 + -15x) = 2(X + -6) + -31

Reorder the terms:
25 + -15x = 2(-6 + X) + -31
25 + -15x = (-6 * 2 + X * 2) + -31
25 + -15x = (-12 + 2X) + -31

Reorder the terms:
25 + -15x = -12 + -31 + 2X

Combine like terms: -12 + -31 = -43
25 + -15x = -43 + 2X

Solving
25 + -15x = -43 + 2X

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + -15x = -43 + -25 + 2X

Combine like terms: 25 + -25 = 0
0 + -15x = -43 + -25 + 2X
-15x = -43 + -25 + 2X

Combine like terms: -43 + -25 = -68
-15x = -68 + 2X

Divide each side by '-15'.
x = 4.533333333 + -0.1333333333X

Simplifying
x = 4.533333333 + -0.1333333333X

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