8(x-4)=5(x-6)

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Solution for 8(x-4)=5(x-6) equation:


Simplifying
8(x + -4) = 5(x + -6)

Reorder the terms:
8(-4 + x) = 5(x + -6)
(-4 * 8 + x * 8) = 5(x + -6)
(-32 + 8x) = 5(x + -6)

Reorder the terms:
-32 + 8x = 5(-6 + x)
-32 + 8x = (-6 * 5 + x * 5)
-32 + 8x = (-30 + 5x)

Solving
-32 + 8x = -30 + 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 + 8x + -5x = -30 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-32 + 3x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-32 + 3x = -30 + 0
-32 + 3x = -30

Add '32' to each side of the equation.
-32 + 32 + 3x = -30 + 32

Combine like terms: -32 + 32 = 0
0 + 3x = -30 + 32
3x = -30 + 32

Combine like terms: -30 + 32 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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