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

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


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

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

Combine like terms: 3 + -2 = 1
1 + 2x + 5x = 12x + -8

Combine like terms: 2x + 5x = 7x
1 + 7x = 12x + -8

Reorder the terms:
1 + 7x = -8 + 12x

Solving
1 + 7x = -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.
1 + 7x + -12x = -8 + 12x + -12x

Combine like terms: 7x + -12x = -5x
1 + -5x = -8 + 12x + -12x

Combine like terms: 12x + -12x = 0
1 + -5x = -8 + 0
1 + -5x = -8

Add '-1' to each side of the equation.
1 + -1 + -5x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = -8 + -1
-5x = -8 + -1

Combine like terms: -8 + -1 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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