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

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


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

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

Reorder the terms:
13 = 3 + 5x + -2(5 + -2x)
13 = 3 + 5x + (5 * -2 + -2x * -2)
13 = 3 + 5x + (-10 + 4x)

Reorder the terms:
13 = 3 + -10 + 5x + 4x

Combine like terms: 3 + -10 = -7
13 = -7 + 5x + 4x

Combine like terms: 5x + 4x = 9x
13 = -7 + 9x

Solving
13 = -7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
13 + -9x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
13 + -9x = -7 + 0
13 + -9x = -7

Add '-13' to each side of the equation.
13 + -13 + -9x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -9x = -7 + -13
-9x = -7 + -13

Combine like terms: -7 + -13 = -20
-9x = -20

Divide each side by '-9'.
x = 2.222222222

Simplifying
x = 2.222222222

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