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

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


Simplifying
5(1 + -1x) = 3(5 + -1x) + -2
(1 * 5 + -1x * 5) = 3(5 + -1x) + -2
(5 + -5x) = 3(5 + -1x) + -2
5 + -5x = (5 * 3 + -1x * 3) + -2
5 + -5x = (15 + -3x) + -2

Reorder the terms:
5 + -5x = 15 + -2 + -3x

Combine like terms: 15 + -2 = 13
5 + -5x = 13 + -3x

Solving
5 + -5x = 13 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
5 + -5x + 3x = 13 + -3x + 3x

Combine like terms: -5x + 3x = -2x
5 + -2x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + -2x = 13 + 0
5 + -2x = 13

Add '-5' to each side of the equation.
5 + -5 + -2x = 13 + -5

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

Combine like terms: 13 + -5 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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