13=3(x+5)-5x

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


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

Reorder the terms:
13 = 3(5 + x) + -5x
13 = (5 * 3 + x * 3) + -5x
13 = (15 + 3x) + -5x

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

Solving
13 = 15 + -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.
13 + 2x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 2x = 15 + 0
13 + 2x = 15

Add '-13' to each side of the equation.
13 + -13 + 2x = 15 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 15 + -13
2x = 15 + -13

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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