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

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


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

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

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

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

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

Solving
2 + 5x = -12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 5x + -7x = -12 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
2 + -2x = -12 + 0
2 + -2x = -12

Add '-2' to each side of the equation.
2 + -2 + -2x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -12 + -2
-2x = -12 + -2

Combine like terms: -12 + -2 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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