3(3x+4)=-2x-5-7x+20

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Solution for 3(3x+4)=-2x-5-7x+20 equation: 


Simplifying
3(3x + 4) = -2x + -5 + -7x + 20

Reorder the terms:
3(4 + 3x) = -2x + -5 + -7x + 20
(4 * 3 + 3x * 3) = -2x + -5 + -7x + 20
(12 + 9x) = -2x + -5 + -7x + 20

Reorder the terms:
12 + 9x = -5 + 20 + -2x + -7x

Combine like terms: -5 + 20 = 15
12 + 9x = 15 + -2x + -7x

Combine like terms: -2x + -7x = -9x
12 + 9x = 15 + -9x

Solving
12 + 9x = 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 + 9x + 9x = 15 + -9x + 9x

Combine like terms: 9x + 9x = 18x
12 + 18x = 15 + -9x + 9x

Combine like terms: -9x + 9x = 0
12 + 18x = 15 + 0
12 + 18x = 15

Add '-12' to each side of the equation.
12 + -12 + 18x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 18x = 15 + -12
18x = 15 + -12

Combine like terms: 15 + -12 = 3
18x = 3

Divide each side by '18'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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