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

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


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

Reorder the terms:
5x + 4(-8 + x) = 5(x + -4)
5x + (-8 * 4 + x * 4) = 5(x + -4)
5x + (-32 + 4x) = 5(x + -4)

Reorder the terms:
-32 + 5x + 4x = 5(x + -4)

Combine like terms: 5x + 4x = 9x
-32 + 9x = 5(x + -4)

Reorder the terms:
-32 + 9x = 5(-4 + x)
-32 + 9x = (-4 * 5 + x * 5)
-32 + 9x = (-20 + 5x)

Solving
-32 + 9x = -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.
-32 + 9x + -5x = -20 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-32 + 4x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-32 + 4x = -20 + 0
-32 + 4x = -20

Add '32' to each side of the equation.
-32 + 32 + 4x = -20 + 32

Combine like terms: -32 + 32 = 0
0 + 4x = -20 + 32
4x = -20 + 32

Combine like terms: -20 + 32 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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