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

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


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

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

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

Combine like terms: -2x + -3x = -5x
8 + -5x = 6(3 + -1x)
8 + -5x = (3 * 6 + -1x * 6)
8 + -5x = (18 + -6x)

Solving
8 + -5x = 18 + -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.
8 + -5x + 6x = 18 + -6x + 6x

Combine like terms: -5x + 6x = 1x
8 + 1x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
8 + 1x = 18 + 0
8 + 1x = 18

Add '-8' to each side of the equation.
8 + -8 + 1x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 18 + -8
1x = 18 + -8

Combine like terms: 18 + -8 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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