-2x+7=3x-3

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


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

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

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

Solving
7 + -2x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + -2x + -3x = -3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
7 + -5x = -3 + 0
7 + -5x = -3

Add '-7' to each side of the equation.
7 + -7 + -5x = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -3 + -7
-5x = -3 + -7

Combine like terms: -3 + -7 = -10
-5x = -10

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

Simplifying
x = 2

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