5x+2-3x+1=7x-x+9

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Solution for 5x+2-3x+1=7x-x+9 equation:


Simplifying
5x + 2 + -3x + 1 = 7x + -1x + 9

Reorder the terms:
2 + 1 + 5x + -3x = 7x + -1x + 9

Combine like terms: 2 + 1 = 3
3 + 5x + -3x = 7x + -1x + 9

Combine like terms: 5x + -3x = 2x
3 + 2x = 7x + -1x + 9

Reorder the terms:
3 + 2x = 9 + 7x + -1x

Combine like terms: 7x + -1x = 6x
3 + 2x = 9 + 6x

Solving
3 + 2x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + 2x + -6x = 9 + 6x + -6x

Combine like terms: 2x + -6x = -4x
3 + -4x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -4x = 9 + 0
3 + -4x = 9

Add '-3' to each side of the equation.
3 + -3 + -4x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 9 + -3
-4x = 9 + -3

Combine like terms: 9 + -3 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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