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

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


Simplifying
2(4 + 3x) = 3(x + -3)
(4 * 2 + 3x * 2) = 3(x + -3)
(8 + 6x) = 3(x + -3)

Reorder the terms:
8 + 6x = 3(-3 + x)
8 + 6x = (-3 * 3 + x * 3)
8 + 6x = (-9 + 3x)

Solving
8 + 6x = -9 + 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.
8 + 6x + -3x = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
8 + 3x = -9 + 0
8 + 3x = -9

Add '-8' to each side of the equation.
8 + -8 + 3x = -9 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = -9 + -8
3x = -9 + -8

Combine like terms: -9 + -8 = -17
3x = -17

Divide each side by '3'.
x = -5.666666667

Simplifying
x = -5.666666667

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