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

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Solution for 2(3x+1)-8x=3(1-x) equation:


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

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

Combine like terms: 6x + -8x = -2x
2 + -2x = 3(1 + -1x)
2 + -2x = (1 * 3 + -1x * 3)
2 + -2x = (3 + -3x)

Solving
2 + -2x = 3 + -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.
2 + -2x + 3x = 3 + -3x + 3x

Combine like terms: -2x + 3x = 1x
2 + 1x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 1x = 3 + 0
2 + 1x = 3

Add '-2' to each side of the equation.
2 + -2 + 1x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 3 + -2
1x = 3 + -2

Combine like terms: 3 + -2 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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