(3x+12)+(2x+5)=12x-8

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Solution for (3x+12)+(2x+5)=12x-8 equation:


Simplifying
(3x + 12) + (2x + 5) = 12x + -8

Reorder the terms:
(12 + 3x) + (2x + 5) = 12x + -8

Remove parenthesis around (12 + 3x)
12 + 3x + (2x + 5) = 12x + -8

Reorder the terms:
12 + 3x + (5 + 2x) = 12x + -8

Remove parenthesis around (5 + 2x)
12 + 3x + 5 + 2x = 12x + -8

Reorder the terms:
12 + 5 + 3x + 2x = 12x + -8

Combine like terms: 12 + 5 = 17
17 + 3x + 2x = 12x + -8

Combine like terms: 3x + 2x = 5x
17 + 5x = 12x + -8

Reorder the terms:
17 + 5x = -8 + 12x

Solving
17 + 5x = -8 + 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.
17 + 5x + -12x = -8 + 12x + -12x

Combine like terms: 5x + -12x = -7x
17 + -7x = -8 + 12x + -12x

Combine like terms: 12x + -12x = 0
17 + -7x = -8 + 0
17 + -7x = -8

Add '-17' to each side of the equation.
17 + -17 + -7x = -8 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = -8 + -17
-7x = -8 + -17

Combine like terms: -8 + -17 = -25
-7x = -25

Divide each side by '-7'.
x = 3.571428571

Simplifying
x = 3.571428571

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