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

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


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

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

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

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

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

Reorder the terms:
-6 + 5x = 6 + -1(-1 + x) + 4
-6 + 5x = 6 + (-1 * -1 + x * -1) + 4
-6 + 5x = 6 + (1 + -1x) + 4

Reorder the terms:
-6 + 5x = 6 + 1 + 4 + -1x

Combine like terms: 6 + 1 = 7
-6 + 5x = 7 + 4 + -1x

Combine like terms: 7 + 4 = 11
-6 + 5x = 11 + -1x

Solving
-6 + 5x = 11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 5x + x = 11 + -1x + x

Combine like terms: 5x + x = 6x
-6 + 6x = 11 + -1x + x

Combine like terms: -1x + x = 0
-6 + 6x = 11 + 0
-6 + 6x = 11

Add '6' to each side of the equation.
-6 + 6 + 6x = 11 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 11 + 6
6x = 11 + 6

Combine like terms: 11 + 6 = 17
6x = 17

Divide each side by '6'.
x = 2.833333333

Simplifying
x = 2.833333333

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