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

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


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

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

Reorder the terms:
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 = -7x
12 + -7x = 15 + 9x + -9x

Combine like terms: 9x + -9x = 0
12 + -7x = 15 + 0
12 + -7x = 15

Add '-12' to each side of the equation.
12 + -12 + -7x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 15 + -12
-7x = 15 + -12

Combine like terms: 15 + -12 = 3
-7x = 3

Divide each side by '-7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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