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

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


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

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

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

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

Combine like terms: 3 + 2 = 5
5 + 6x + -1x = 2(x + 4)

Combine like terms: 6x + -1x = 5x
5 + 5x = 2(x + 4)

Reorder the terms:
5 + 5x = 2(4 + x)
5 + 5x = (4 * 2 + x * 2)
5 + 5x = (8 + 2x)

Solving
5 + 5x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + 5x + -2x = 8 + 2x + -2x

Combine like terms: 5x + -2x = 3x
5 + 3x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 3x = 8 + 0
5 + 3x = 8

Add '-5' to each side of the equation.
5 + -5 + 3x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 8 + -5
3x = 8 + -5

Combine like terms: 8 + -5 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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