(5-3x)-5(2-x)=13

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Solution for (5-3x)-5(2-x)=13 equation:


Simplifying
(5 + -3x) + -5(2 + -1x) = 13

Remove parenthesis around (5 + -3x)
5 + -3x + -5(2 + -1x) = 13
5 + -3x + (2 * -5 + -1x * -5) = 13
5 + -3x + (-10 + 5x) = 13

Reorder the terms:
5 + -10 + -3x + 5x = 13

Combine like terms: 5 + -10 = -5
-5 + -3x + 5x = 13

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

Solving
-5 + 2x = 13

Solving for variable 'x'.

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

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 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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