14+(2x-9)=3x+(7x+13)

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Solution for 14+(2x-9)=3x+(7x+13) equation:


Simplifying
14 + (2x + -9) = 3x + (7x + 13)

Reorder the terms:
14 + (-9 + 2x) = 3x + (7x + 13)

Remove parenthesis around (-9 + 2x)
14 + -9 + 2x = 3x + (7x + 13)

Combine like terms: 14 + -9 = 5
5 + 2x = 3x + (7x + 13)

Reorder the terms:
5 + 2x = 3x + (13 + 7x)

Remove parenthesis around (13 + 7x)
5 + 2x = 3x + 13 + 7x

Reorder the terms:
5 + 2x = 13 + 3x + 7x

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

Solving
5 + 2x = 13 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
5 + 2x + -10x = 13 + 10x + -10x

Combine like terms: 2x + -10x = -8x
5 + -8x = 13 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + -8x = 13 + 0
5 + -8x = 13

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

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

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

Divide each side by '-8'.
x = -1

Simplifying
x = -1

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