(3x+2)-(2-4x)-x=10

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Solution for (3x+2)-(2-4x)-x=10 equation:


Simplifying
(3x + 2) + -1(2 + -4x) + -1x = 10

Reorder the terms:
(2 + 3x) + -1(2 + -4x) + -1x = 10

Remove parenthesis around (2 + 3x)
2 + 3x + -1(2 + -4x) + -1x = 10
2 + 3x + (2 * -1 + -4x * -1) + -1x = 10
2 + 3x + (-2 + 4x) + -1x = 10

Reorder the terms:
2 + -2 + 3x + 4x + -1x = 10

Combine like terms: 2 + -2 = 0
0 + 3x + 4x + -1x = 10
3x + 4x + -1x = 10

Combine like terms: 3x + 4x = 7x
7x + -1x = 10

Combine like terms: 7x + -1x = 6x
6x = 10

Solving
6x = 10

Solving for variable 'x'.

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

Divide each side by '6'.
x = 1.666666667

Simplifying
x = 1.666666667

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