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

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


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

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

Reorder the terms:
13 = 3 + -10 + 5 + 5x + -2x

Combine like terms: 3 + -10 = -7
13 = -7 + 5 + 5x + -2x

Combine like terms: -7 + 5 = -2
13 = -2 + 5x + -2x

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

Solving
13 = -2 + 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 = -2 + 3x + -3x

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

Add '-13' to each side of the equation.
13 + -13 + -3x = -2 + -13

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

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

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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