5-3(3-7)=2(2-x)-8

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Solution for 5-3(3-7)=2(2-x)-8 equation: 


Simplifying
5 + -3(3 + -7) = 2(2 + -1x) + -8

Combine like terms: 3 + -7 = -4
5 + -3(-4) = 2(2 + -1x) + -8

Multiply -3 * -4
5 + 12 = 2(2 + -1x) + -8

Combine like terms: 5 + 12 = 17
17 = 2(2 + -1x) + -8
17 = (2 * 2 + -1x * 2) + -8
17 = (4 + -2x) + -8

Reorder the terms:
17 = 4 + -8 + -2x

Combine like terms: 4 + -8 = -4
17 = -4 + -2x

Solving
17 = -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.
17 + 2x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
17 + 2x = -4 + 0
17 + 2x = -4

Add '-17' to each side of the equation.
17 + -17 + 2x = -4 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = -4 + -17
2x = -4 + -17

Combine like terms: -4 + -17 = -21
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5

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