14-2(x+3)+5x=13-2x

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Solution for 14-2(x+3)+5x=13-2x equation: 


Simplifying
14 + -2(x + 3) + 5x = 13 + -2x

Reorder the terms:
14 + -2(3 + x) + 5x = 13 + -2x
14 + (3 * -2 + x * -2) + 5x = 13 + -2x
14 + (-6 + -2x) + 5x = 13 + -2x

Combine like terms: 14 + -6 = 8
8 + -2x + 5x = 13 + -2x

Combine like terms: -2x + 5x = 3x
8 + 3x = 13 + -2x

Solving
8 + 3x = 13 + -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.
8 + 3x + 2x = 13 + -2x + 2x

Combine like terms: 3x + 2x = 5x
8 + 5x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 5x = 13 + 0
8 + 5x = 13

Add '-8' to each side of the equation.
8 + -8 + 5x = 13 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 13 + -8
5x = 13 + -8

Combine like terms: 13 + -8 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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