4(2x+1)-2x=-6+3(x-2)

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Solution for 4(2x+1)-2x=-6+3(x-2) equation: 


Simplifying
4(2x + 1) + -2x = -6 + 3(x + -2)

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

Combine like terms: 8x + -2x = 6x
4 + 6x = -6 + 3(x + -2)

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

Combine like terms: -6 + -6 = -12
4 + 6x = -12 + 3x

Solving
4 + 6x = -12 + 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.
4 + 6x + -3x = -12 + 3x + -3x

Combine like terms: 6x + -3x = 3x
4 + 3x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 3x = -12 + 0
4 + 3x = -12

Add '-4' to each side of the equation.
4 + -4 + 3x = -12 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = -12 + -4
3x = -12 + -4

Combine like terms: -12 + -4 = -16
3x = -16

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

Simplifying
x = -5.333333333

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