10-4x=5(x-4)

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Solution for 10-4x=5(x-4) equation:


Simplifying
10 + -4x = 5(x + -4)

Reorder the terms:
10 + -4x = 5(-4 + x)
10 + -4x = (-4 * 5 + x * 5)
10 + -4x = (-20 + 5x)

Solving
10 + -4x = -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.
10 + -4x + -5x = -20 + 5x + -5x

Combine like terms: -4x + -5x = -9x
10 + -9x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -9x = -20 + 0
10 + -9x = -20

Add '-10' to each side of the equation.
10 + -10 + -9x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = -20 + -10
-9x = -20 + -10

Combine like terms: -20 + -10 = -30
-9x = -30

Divide each side by '-9'.
x = 3.333333333

Simplifying
x = 3.333333333

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