3x-5+2x+3+7x-17=5x-12

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Solution for 3x-5+2x+3+7x-17=5x-12 equation:


Simplifying
3x + -5 + 2x + 3 + 7x + -17 = 5x + -12

Reorder the terms:
-5 + 3 + -17 + 3x + 2x + 7x = 5x + -12

Combine like terms: -5 + 3 = -2
-2 + -17 + 3x + 2x + 7x = 5x + -12

Combine like terms: -2 + -17 = -19
-19 + 3x + 2x + 7x = 5x + -12

Combine like terms: 3x + 2x = 5x
-19 + 5x + 7x = 5x + -12

Combine like terms: 5x + 7x = 12x
-19 + 12x = 5x + -12

Reorder the terms:
-19 + 12x = -12 + 5x

Solving
-19 + 12x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-19 + 12x + -5x = -12 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-19 + 7x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-19 + 7x = -12 + 0
-19 + 7x = -12

Add '19' to each side of the equation.
-19 + 19 + 7x = -12 + 19

Combine like terms: -19 + 19 = 0
0 + 7x = -12 + 19
7x = -12 + 19

Combine like terms: -12 + 19 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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