5-3x=8(x-2)

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


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

Reorder the terms:
5 + -3x = 8(-2 + x)
5 + -3x = (-2 * 8 + x * 8)
5 + -3x = (-16 + 8x)

Solving
5 + -3x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
5 + -3x + -8x = -16 + 8x + -8x

Combine like terms: -3x + -8x = -11x
5 + -11x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + -11x = -16 + 0
5 + -11x = -16

Add '-5' to each side of the equation.
5 + -5 + -11x = -16 + -5

Combine like terms: 5 + -5 = 0
0 + -11x = -16 + -5
-11x = -16 + -5

Combine like terms: -16 + -5 = -21
-11x = -21

Divide each side by '-11'.
x = 1.909090909

Simplifying
x = 1.909090909

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