2(3x+6)=3(x+3)-1

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Solution for 2(3x+6)=3(x+3)-1 equation:


Simplifying
2(3x + 6) = 3(x + 3) + -1

Reorder the terms:
2(6 + 3x) = 3(x + 3) + -1
(6 * 2 + 3x * 2) = 3(x + 3) + -1
(12 + 6x) = 3(x + 3) + -1

Reorder the terms:
12 + 6x = 3(3 + x) + -1
12 + 6x = (3 * 3 + x * 3) + -1
12 + 6x = (9 + 3x) + -1

Reorder the terms:
12 + 6x = 9 + -1 + 3x

Combine like terms: 9 + -1 = 8
12 + 6x = 8 + 3x

Solving
12 + 6x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 6x + -3x = 8 + 3x + -3x

Combine like terms: 6x + -3x = 3x
12 + 3x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 3x = 8 + 0
12 + 3x = 8

Add '-12' to each side of the equation.
12 + -12 + 3x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 8 + -12
3x = 8 + -12

Combine like terms: 8 + -12 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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