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

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


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

Reorder the terms:
13 = 3 + 5x + -2 + -1(5 + 2x)
13 = 3 + 5x + -2 + (5 * -1 + 2x * -1)
13 = 3 + 5x + -2 + (-5 + -2x)

Reorder the terms:
13 = 3 + -2 + -5 + 5x + -2x

Combine like terms: 3 + -2 = 1
13 = 1 + -5 + 5x + -2x

Combine like terms: 1 + -5 = -4
13 = -4 + 5x + -2x

Combine like terms: 5x + -2x = 3x
13 = -4 + 3x

Solving
13 = -4 + 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.
13 + -3x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -3x = -4 + 0
13 + -3x = -4

Add '-13' to each side of the equation.
13 + -13 + -3x = -4 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = -4 + -13
-3x = -4 + -13

Combine like terms: -4 + -13 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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