7x+9=12x-5

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Solution for 7x+9=12x-5 equation:


Simplifying
7x + 9 = 12x + -5

Reorder the terms:
9 + 7x = 12x + -5

Reorder the terms:
9 + 7x = -5 + 12x

Solving
9 + 7x = -5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
9 + 7x + -12x = -5 + 12x + -12x

Combine like terms: 7x + -12x = -5x
9 + -5x = -5 + 12x + -12x

Combine like terms: 12x + -12x = 0
9 + -5x = -5 + 0
9 + -5x = -5

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

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

Combine like terms: -5 + -9 = -14
-5x = -14

Divide each side by '-5'.
x = 2.8

Simplifying
x = 2.8

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