14x+(2-x)=6(2x-1)

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Solution for 14x+(2-x)=6(2x-1) equation:


Simplifying
14x + (2 + -1x) = 6(2x + -1)

Remove parenthesis around (2 + -1x)
14x + 2 + -1x = 6(2x + -1)

Reorder the terms:
2 + 14x + -1x = 6(2x + -1)

Combine like terms: 14x + -1x = 13x
2 + 13x = 6(2x + -1)

Reorder the terms:
2 + 13x = 6(-1 + 2x)
2 + 13x = (-1 * 6 + 2x * 6)
2 + 13x = (-6 + 12x)

Solving
2 + 13x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + 13x + -12x = -6 + 12x + -12x

Combine like terms: 13x + -12x = 1x
2 + 1x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
2 + 1x = -6 + 0
2 + 1x = -6

Add '-2' to each side of the equation.
2 + -2 + 1x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -6 + -2
1x = -6 + -2

Combine like terms: -6 + -2 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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