24x+9+14x+3=22x-8-12x+16

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Solution for 24x+9+14x+3=22x-8-12x+16 equation: 


Simplifying
24x + 9 + 14x + 3 = 22x + -8 + -12x + 16

Reorder the terms:
9 + 3 + 24x + 14x = 22x + -8 + -12x + 16

Combine like terms: 9 + 3 = 12
12 + 24x + 14x = 22x + -8 + -12x + 16

Combine like terms: 24x + 14x = 38x
12 + 38x = 22x + -8 + -12x + 16

Reorder the terms:
12 + 38x = -8 + 16 + 22x + -12x

Combine like terms: -8 + 16 = 8
12 + 38x = 8 + 22x + -12x

Combine like terms: 22x + -12x = 10x
12 + 38x = 8 + 10x

Solving
12 + 38x = 8 + 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.
12 + 38x + -10x = 8 + 10x + -10x

Combine like terms: 38x + -10x = 28x
12 + 28x = 8 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + 28x = 8 + 0
12 + 28x = 8

Add '-12' to each side of the equation.
12 + -12 + 28x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 28x = 8 + -12
28x = 8 + -12

Combine like terms: 8 + -12 = -4
28x = -4

Divide each side by '28'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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