3+4x-1=7x+9-2x

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Solution for 3+4x-1=7x+9-2x equation:


Simplifying
3 + 4x + -1 = 7x + 9 + -2x

Reorder the terms:
3 + -1 + 4x = 7x + 9 + -2x

Combine like terms: 3 + -1 = 2
2 + 4x = 7x + 9 + -2x

Reorder the terms:
2 + 4x = 9 + 7x + -2x

Combine like terms: 7x + -2x = 5x
2 + 4x = 9 + 5x

Solving
2 + 4x = 9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 4x + -5x = 9 + 5x + -5x

Combine like terms: 4x + -5x = -1x
2 + -1x = 9 + 5x + -5x

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 9 + -2

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

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

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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