-2x+7x-3=3x-x+6

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Solution for -2x+7x-3=3x-x+6 equation:


Simplifying
-2x + 7x + -3 = 3x + -1x + 6

Reorder the terms:
-3 + -2x + 7x = 3x + -1x + 6

Combine like terms: -2x + 7x = 5x
-3 + 5x = 3x + -1x + 6

Reorder the terms:
-3 + 5x = 6 + 3x + -1x

Combine like terms: 3x + -1x = 2x
-3 + 5x = 6 + 2x

Solving
-3 + 5x = 6 + 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.
-3 + 5x + -2x = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-3 + 3x = 6 + 0
-3 + 3x = 6

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

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

Combine like terms: 6 + 3 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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