5(2-x)-3(4-2x)=2

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Solution for 5(2-x)-3(4-2x)=2 equation: 


Simplifying
5(2 + -1x) + -3(4 + -2x) = 2
(2 * 5 + -1x * 5) + -3(4 + -2x) = 2
(10 + -5x) + -3(4 + -2x) = 2
10 + -5x + (4 * -3 + -2x * -3) = 2
10 + -5x + (-12 + 6x) = 2

Reorder the terms:
10 + -12 + -5x + 6x = 2

Combine like terms: 10 + -12 = -2
-2 + -5x + 6x = 2

Combine like terms: -5x + 6x = 1x
-2 + 1x = 2

Solving
-2 + 1x = 2

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 1x = 2 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 2 + 2
1x = 2 + 2

Combine like terms: 2 + 2 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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