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

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


Simplifying
8 + -2(3 + -1x) = 5 + -3(3 + -2x)
8 + (3 * -2 + -1x * -2) = 5 + -3(3 + -2x)
8 + (-6 + 2x) = 5 + -3(3 + -2x)

Combine like terms: 8 + -6 = 2
2 + 2x = 5 + -3(3 + -2x)
2 + 2x = 5 + (3 * -3 + -2x * -3)
2 + 2x = 5 + (-9 + 6x)

Combine like terms: 5 + -9 = -4
2 + 2x = -4 + 6x

Solving
2 + 2x = -4 + 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 + 2x + -6x = -4 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
2 + -4x = -4 + 0
2 + -4x = -4

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

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

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

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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