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

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


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

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

Combine like terms: 13 + -3 = 10
10 + -1x = 2(x + -2) + 5

Reorder the terms:
10 + -1x = 2(-2 + x) + 5
10 + -1x = (-2 * 2 + x * 2) + 5
10 + -1x = (-4 + 2x) + 5

Reorder the terms:
10 + -1x = -4 + 5 + 2x

Combine like terms: -4 + 5 = 1
10 + -1x = 1 + 2x

Solving
10 + -1x = 1 + 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.
10 + -1x + -2x = 1 + 2x + -2x

Combine like terms: -1x + -2x = -3x
10 + -3x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -3x = 1 + 0
10 + -3x = 1

Add '-10' to each side of the equation.
10 + -10 + -3x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 1 + -10
-3x = 1 + -10

Combine like terms: 1 + -10 = -9
-3x = -9

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

Simplifying
x = 3

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