5-3(x-2)=8-2(2-x)

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Solution for 5-3(x-2)=8-2(2-x) equation: 


Simplifying
5 + -3(x + -2) = 8 + -2(2 + -1x)

Reorder the terms:
5 + -3(-2 + x) = 8 + -2(2 + -1x)
5 + (-2 * -3 + x * -3) = 8 + -2(2 + -1x)
5 + (6 + -3x) = 8 + -2(2 + -1x)

Combine like terms: 5 + 6 = 11
11 + -3x = 8 + -2(2 + -1x)
11 + -3x = 8 + (2 * -2 + -1x * -2)
11 + -3x = 8 + (-4 + 2x)

Combine like terms: 8 + -4 = 4
11 + -3x = 4 + 2x

Solving
11 + -3x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + -3x + -2x = 4 + 2x + -2x

Combine like terms: -3x + -2x = -5x
11 + -5x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -5x = 4 + 0
11 + -5x = 4

Add '-11' to each side of the equation.
11 + -11 + -5x = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = 4 + -11
-5x = 4 + -11

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

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4

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