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

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


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

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

Reorder the terms:
12 + 2x = 3 + -5(2 + 3x)
12 + 2x = 3 + (2 * -5 + 3x * -5)
12 + 2x = 3 + (-10 + -15x)

Combine like terms: 3 + -10 = -7
12 + 2x = -7 + -15x

Solving
12 + 2x = -7 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
12 + 2x + 15x = -7 + -15x + 15x

Combine like terms: 2x + 15x = 17x
12 + 17x = -7 + -15x + 15x

Combine like terms: -15x + 15x = 0
12 + 17x = -7 + 0
12 + 17x = -7

Add '-12' to each side of the equation.
12 + -12 + 17x = -7 + -12

Combine like terms: 12 + -12 = 0
0 + 17x = -7 + -12
17x = -7 + -12

Combine like terms: -7 + -12 = -19
17x = -19

Divide each side by '17'.
x = -1.117647059

Simplifying
x = -1.117647059

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