7-4x+9=5x-2

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Solution for 7-4x+9=5x-2 equation:


Simplifying
7 + -4x + 9 = 5x + -2

Reorder the terms:
7 + 9 + -4x = 5x + -2

Combine like terms: 7 + 9 = 16
16 + -4x = 5x + -2

Reorder the terms:
16 + -4x = -2 + 5x

Solving
16 + -4x = -2 + 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.
16 + -4x + -5x = -2 + 5x + -5x

Combine like terms: -4x + -5x = -9x
16 + -9x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -9x = -2 + 0
16 + -9x = -2

Add '-16' to each side of the equation.
16 + -16 + -9x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = -2 + -16
-9x = -2 + -16

Combine like terms: -2 + -16 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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