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

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


Simplifying
2(4 + -1x) = 3(2 + -1x)
(4 * 2 + -1x * 2) = 3(2 + -1x)
(8 + -2x) = 3(2 + -1x)
8 + -2x = (2 * 3 + -1x * 3)
8 + -2x = (6 + -3x)

Solving
8 + -2x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
8 + -2x + 3x = 6 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
8 + 1x = 6 + 0
8 + 1x = 6

Add '-8' to each side of the equation.
8 + -8 + 1x = 6 + -8

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

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

Divide each side by '1'.
x = -2

Simplifying
x = -2

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