-4x+6=2x-9

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Solution for -4x+6=2x-9 equation:


Simplifying
-4x + 6 = 2x + -9

Reorder the terms:
6 + -4x = 2x + -9

Reorder the terms:
6 + -4x = -9 + 2x

Solving
6 + -4x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -4x + -2x = -9 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + -6x = -9 + 0
6 + -6x = -9

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

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

Combine like terms: -9 + -6 = -15
-6x = -15

Divide each side by '-6'.
x = 2.5

Simplifying
x = 2.5

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