7x+5-x=12x-10+24

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Solution for 7x+5-x=12x-10+24 equation:


Simplifying
7x + 5 + -1x = 12x + -10 + 24

Reorder the terms:
5 + 7x + -1x = 12x + -10 + 24

Combine like terms: 7x + -1x = 6x
5 + 6x = 12x + -10 + 24

Reorder the terms:
5 + 6x = -10 + 24 + 12x

Combine like terms: -10 + 24 = 14
5 + 6x = 14 + 12x

Solving
5 + 6x = 14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
5 + 6x + -12x = 14 + 12x + -12x

Combine like terms: 6x + -12x = -6x
5 + -6x = 14 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + -6x = 14 + 0
5 + -6x = 14

Add '-5' to each side of the equation.
5 + -5 + -6x = 14 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 14 + -5
-6x = 14 + -5

Combine like terms: 14 + -5 = 9
-6x = 9

Divide each side by '-6'.
x = -1.5

Simplifying
x = -1.5

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