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

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


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

Reorder the terms:
6(3 + x) + -2 = 3x(2 + -1)
(3 * 6 + x * 6) + -2 = 3x(2 + -1)
(18 + 6x) + -2 = 3x(2 + -1)

Reorder the terms:
18 + -2 + 6x = 3x(2 + -1)

Combine like terms: 18 + -2 = 16
16 + 6x = 3x(2 + -1)

Combine like terms: 2 + -1 = 1
16 + 6x = 3x(1)

Reorder the terms for easier multiplication:
16 + 6x = 3 * 1x

Multiply 3 * 1
16 + 6x = 3x

Solving
16 + 6x = 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.
16 + 6x + -3x = 3x + -3x

Combine like terms: 6x + -3x = 3x
16 + 3x = 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 3x = 0

Add '-16' to each side of the equation.
16 + -16 + 3x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 0 + -16
3x = 0 + -16

Combine like terms: 0 + -16 = -16
3x = -16

Divide each side by '3'.
x = -5.333333333

Simplifying
x = -5.333333333

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