2(x+6)=3(5-3x)

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Solution for 2(x+6)=3(5-3x) equation:


Simplifying
2(x + 6) = 3(5 + -3x)

Reorder the terms:
2(6 + x) = 3(5 + -3x)
(6 * 2 + x * 2) = 3(5 + -3x)
(12 + 2x) = 3(5 + -3x)
12 + 2x = (5 * 3 + -3x * 3)
12 + 2x = (15 + -9x)

Solving
12 + 2x = 15 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
12 + 2x + 9x = 15 + -9x + 9x

Combine like terms: 2x + 9x = 11x
12 + 11x = 15 + -9x + 9x

Combine like terms: -9x + 9x = 0
12 + 11x = 15 + 0
12 + 11x = 15

Add '-12' to each side of the equation.
12 + -12 + 11x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 11x = 15 + -12
11x = 15 + -12

Combine like terms: 15 + -12 = 3
11x = 3

Divide each side by '11'.
x = 0.2727272727

Simplifying
x = 0.2727272727

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