4x+9=2x-12

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Solution for 4x+9=2x-12 equation:


Simplifying
4x + 9 = 2x + -12

Reorder the terms:
9 + 4x = 2x + -12

Reorder the terms:
9 + 4x = -12 + 2x

Solving
9 + 4x = -12 + 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.
9 + 4x + -2x = -12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
9 + 2x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 2x = -12 + 0
9 + 2x = -12

Add '-9' to each side of the equation.
9 + -9 + 2x = -12 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = -12 + -9
2x = -12 + -9

Combine like terms: -12 + -9 = -21
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5

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