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

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


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

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

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

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

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

Combine like terms: 13 + -4 = 9
-5 + 5x = 9 + -2x

Solving
-5 + 5x = 9 + -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.
-5 + 5x + 2x = 9 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-5 + 7x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 7x = 9 + 0
-5 + 7x = 9

Add '5' to each side of the equation.
-5 + 5 + 7x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 9 + 5
7x = 9 + 5

Combine like terms: 9 + 5 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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