3x-8=5(x-4)

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


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

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

Reorder the terms:
-8 + 3x = 5(-4 + x)
-8 + 3x = (-4 * 5 + x * 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 = -2x
-8 + -2x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -2x = -20 + 0
-8 + -2x = -20

Add '8' to each side of the equation.
-8 + 8 + -2x = -20 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -20 + 8
-2x = -20 + 8

Combine like terms: -20 + 8 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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