2-3x+7=2x-1

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Solution for 2-3x+7=2x-1 equation:


Simplifying
2 + -3x + 7 = 2x + -1

Reorder the terms:
2 + 7 + -3x = 2x + -1

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

Reorder the terms:
9 + -3x = -1 + 2x

Solving
9 + -3x = -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.
9 + -3x + -2x = -1 + 2x + -2x

Combine like terms: -3x + -2x = -5x
9 + -5x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -5x = -1 + 0
9 + -5x = -1

Add '-9' to each side of the equation.
9 + -9 + -5x = -1 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -1 + -9
-5x = -1 + -9

Combine like terms: -1 + -9 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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