6(x+2)=5x-9

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Solution for 6(x+2)=5x-9 equation:


Simplifying
6(x + 2) = 5x + -9

Reorder the terms:
6(2 + x) = 5x + -9
(2 * 6 + x * 6) = 5x + -9
(12 + 6x) = 5x + -9

Reorder the terms:
12 + 6x = -9 + 5x

Solving
12 + 6x = -9 + 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.
12 + 6x + -5x = -9 + 5x + -5x

Combine like terms: 6x + -5x = 1x
12 + 1x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 1x = -9 + 0
12 + 1x = -9

Add '-12' to each side of the equation.
12 + -12 + 1x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = -9 + -12
1x = -9 + -12

Combine like terms: -9 + -12 = -21
1x = -21

Divide each side by '1'.
x = -21

Simplifying
x = -21

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