-5(x-1)+3=-2(X+3)-8

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Solution for -5(x-1)+3=-2(X+3)-8 equation: 


Simplifying
-5(x + -1) + 3 = -2(X + 3) + -8

Reorder the terms:
-5(-1 + x) + 3 = -2(X + 3) + -8
(-1 * -5 + x * -5) + 3 = -2(X + 3) + -8
(5 + -5x) + 3 = -2(X + 3) + -8

Reorder the terms:
5 + 3 + -5x = -2(X + 3) + -8

Combine like terms: 5 + 3 = 8
8 + -5x = -2(X + 3) + -8

Reorder the terms:
8 + -5x = -2(3 + X) + -8
8 + -5x = (3 * -2 + X * -2) + -8
8 + -5x = (-6 + -2X) + -8

Reorder the terms:
8 + -5x = -6 + -8 + -2X

Combine like terms: -6 + -8 = -14
8 + -5x = -14 + -2X

Solving
8 + -5x = -14 + -2X

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -5x = -14 + -8 + -2X

Combine like terms: 8 + -8 = 0
0 + -5x = -14 + -8 + -2X
-5x = -14 + -8 + -2X

Combine like terms: -14 + -8 = -22
-5x = -22 + -2X

Divide each side by '-5'.
x = 4.4 + 0.4X

Simplifying
x = 4.4 + 0.4X

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