5x-8-2x+14=3x+8+2x+13

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Solution for 5x-8-2x+14=3x+8+2x+13 equation:


Simplifying
5x + -8 + -2x + 14 = 3x + 8 + 2x + 13

Reorder the terms:
-8 + 14 + 5x + -2x = 3x + 8 + 2x + 13

Combine like terms: -8 + 14 = 6
6 + 5x + -2x = 3x + 8 + 2x + 13

Combine like terms: 5x + -2x = 3x
6 + 3x = 3x + 8 + 2x + 13

Reorder the terms:
6 + 3x = 8 + 13 + 3x + 2x

Combine like terms: 8 + 13 = 21
6 + 3x = 21 + 3x + 2x

Combine like terms: 3x + 2x = 5x
6 + 3x = 21 + 5x

Solving
6 + 3x = 21 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
6 + 3x + -5x = 21 + 5x + -5x

Combine like terms: 3x + -5x = -2x
6 + -2x = 21 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -2x = 21 + 0
6 + -2x = 21

Add '-6' to each side of the equation.
6 + -6 + -2x = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 21 + -6
-2x = 21 + -6

Combine like terms: 21 + -6 = 15
-2x = 15

Divide each side by '-2'.
x = -7.5

Simplifying
x = -7.5

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