3x-8=5(4-x)

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Solution for 3x-8=5(4-x) equation:


Simplifying
3x + -8 = 5(4 + -1x)

Reorder the terms:
-8 + 3x = 5(4 + -1x)
-8 + 3x = (4 * 5 + -1x * 5)
-8 + 3x = (20 + -5x)

Solving
-8 + 3x = 20 + -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.
-8 + 3x + 5x = 20 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-8 + 8x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 8x = 20 + 0
-8 + 8x = 20

Add '8' to each side of the equation.
-8 + 8 + 8x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 8x = 20 + 8
8x = 20 + 8

Combine like terms: 20 + 8 = 28
8x = 28

Divide each side by '8'.
x = 3.5

Simplifying
x = 3.5

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