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

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


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

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

Combine like terms: 5 + 6 = 11
11 + -3x = -5x + 8

Reorder the terms:
11 + -3x = 8 + -5x

Solving
11 + -3x = 8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
11 + -3x + 5x = 8 + -5x + 5x

Combine like terms: -3x + 5x = 2x
11 + 2x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
11 + 2x = 8 + 0
11 + 2x = 8

Add '-11' to each side of the equation.
11 + -11 + 2x = 8 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 8 + -11
2x = 8 + -11

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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