3x+7+-2x=10+2x-9

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Solution for 3x+7+-2x=10+2x-9 equation:


Simplifying
3x + 7 + -2x = 10 + 2x + -9

Reorder the terms:
7 + 3x + -2x = 10 + 2x + -9

Combine like terms: 3x + -2x = 1x
7 + 1x = 10 + 2x + -9

Reorder the terms:
7 + 1x = 10 + -9 + 2x

Combine like terms: 10 + -9 = 1
7 + 1x = 1 + 2x

Solving
7 + 1x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 1x + -2x = 1 + 2x + -2x

Combine like terms: 1x + -2x = -1x
7 + -1x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -1x = 1 + 0
7 + -1x = 1

Add '-7' to each side of the equation.
7 + -7 + -1x = 1 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 1 + -7
-1x = 1 + -7

Combine like terms: 1 + -7 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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