3x-12+2x-5=4x-2

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


Simplifying
3x + -12 + 2x + -5 = 4x + -2

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

Combine like terms: -12 + -5 = -17
-17 + 3x + 2x = 4x + -2

Combine like terms: 3x + 2x = 5x
-17 + 5x = 4x + -2

Reorder the terms:
-17 + 5x = -2 + 4x

Solving
-17 + 5x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-17 + 5x + -4x = -2 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-17 + 1x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-17 + 1x = -2 + 0
-17 + 1x = -2

Add '17' to each side of the equation.
-17 + 17 + 1x = -2 + 17

Combine like terms: -17 + 17 = 0
0 + 1x = -2 + 17
1x = -2 + 17

Combine like terms: -2 + 17 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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