5x-7-2x+1=12

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Solution for 5x-7-2x+1=12 equation:


Simplifying
5x + -7 + -2x + 1 = 12

Reorder the terms:
-7 + 1 + 5x + -2x = 12

Combine like terms: -7 + 1 = -6
-6 + 5x + -2x = 12

Combine like terms: 5x + -2x = 3x
-6 + 3x = 12

Solving
-6 + 3x = 12

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 3x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 12 + 6
3x = 12 + 6

Combine like terms: 12 + 6 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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