x+13=19-24+9x-7x

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Solution for x+13=19-24+9x-7x equation:


Simplifying
x + 13 = 19 + -24 + 9x + -7x

Reorder the terms:
13 + x = 19 + -24 + 9x + -7x

Combine like terms: 19 + -24 = -5
13 + x = -5 + 9x + -7x

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

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

Combine like terms: x + -2x = -1x
13 + -1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -1x = -5 + 0
13 + -1x = -5

Add '-13' to each side of the equation.
13 + -13 + -1x = -5 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = -5 + -13
-1x = -5 + -13

Combine like terms: -5 + -13 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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