-4x+2=-5x+9

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Solution for -4x+2=-5x+9 equation:


Simplifying
-4x + 2 = -5x + 9

Reorder the terms:
2 + -4x = -5x + 9

Reorder the terms:
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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