5x+2=4x-9

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


Simplifying
5x + 2 = 4x + -9

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

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

Solving
2 + 5x = -9 + 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 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 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11

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