(15+20)-7x=(12x-24)+6

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Solution for (15+20)-7x=(12x-24)+6 equation: 


Simplifying
(15 + 20) + -7x = (12x + -24) + 6

Combine like terms: 15 + 20 = 35
(35) + -7x = (12x + -24) + 6
35 + -7x = (12x + -24) + 6

Reorder the terms:
35 + -7x = (-24 + 12x) + 6

Remove parenthesis around (-24 + 12x)
35 + -7x = -24 + 12x + 6

Reorder the terms:
35 + -7x = -24 + 6 + 12x

Combine like terms: -24 + 6 = -18
35 + -7x = -18 + 12x

Solving
35 + -7x = -18 + 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.
35 + -7x + -12x = -18 + 12x + -12x

Combine like terms: -7x + -12x = -19x
35 + -19x = -18 + 12x + -12x

Combine like terms: 12x + -12x = 0
35 + -19x = -18 + 0
35 + -19x = -18

Add '-35' to each side of the equation.
35 + -35 + -19x = -18 + -35

Combine like terms: 35 + -35 = 0
0 + -19x = -18 + -35
-19x = -18 + -35

Combine like terms: -18 + -35 = -53
-19x = -53

Divide each side by '-19'.
x = 2.789473684

Simplifying
x = 2.789473684

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