3x-5+(2x-4)=8x+12

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Solution for 3x-5+(2x-4)=8x+12 equation:


Simplifying
3x + -5 + (2x + -4) = 8x + 12

Reorder the terms:
3x + -5 + (-4 + 2x) = 8x + 12

Remove parenthesis around (-4 + 2x)
3x + -5 + -4 + 2x = 8x + 12

Reorder the terms:
-5 + -4 + 3x + 2x = 8x + 12

Combine like terms: -5 + -4 = -9
-9 + 3x + 2x = 8x + 12

Combine like terms: 3x + 2x = 5x
-9 + 5x = 8x + 12

Reorder the terms:
-9 + 5x = 12 + 8x

Solving
-9 + 5x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-9 + 5x + -8x = 12 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-9 + -3x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + -3x = 12 + 0
-9 + -3x = 12

Add '9' to each side of the equation.
-9 + 9 + -3x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = 12 + 9
-3x = 12 + 9

Combine like terms: 12 + 9 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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