2(3x+4)-(3x-3)=-8

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Solution for 2(3x+4)-(3x-3)=-8 equation:


Simplifying
2(3x + 4) + -1(3x + -3) = -8

Reorder the terms:
2(4 + 3x) + -1(3x + -3) = -8
(4 * 2 + 3x * 2) + -1(3x + -3) = -8
(8 + 6x) + -1(3x + -3) = -8

Reorder the terms:
8 + 6x + -1(-3 + 3x) = -8
8 + 6x + (-3 * -1 + 3x * -1) = -8
8 + 6x + (3 + -3x) = -8

Reorder the terms:
8 + 3 + 6x + -3x = -8

Combine like terms: 8 + 3 = 11
11 + 6x + -3x = -8

Combine like terms: 6x + -3x = 3x
11 + 3x = -8

Solving
11 + 3x = -8

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 3x = -8 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = -8 + -11
3x = -8 + -11

Combine like terms: -8 + -11 = -19
3x = -19

Divide each side by '3'.
x = -6.333333333

Simplifying
x = -6.333333333

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