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

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


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

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

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

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

Combine like terms: 6 + 4 = 10
2 + -3x = 10 + -6x

Solving
2 + -3x = 10 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
2 + -3x + 6x = 10 + -6x + 6x

Combine like terms: -3x + 6x = 3x
2 + 3x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 3x = 10 + 0
2 + 3x = 10

Add '-2' to each side of the equation.
2 + -2 + 3x = 10 + -2

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

Combine like terms: 10 + -2 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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