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

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


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

Reorder the terms:
6(-4 + 5x) = 8(x + 5)
(-4 * 6 + 5x * 6) = 8(x + 5)
(-24 + 30x) = 8(x + 5)

Reorder the terms:
-24 + 30x = 8(5 + x)
-24 + 30x = (5 * 8 + x * 8)
-24 + 30x = (40 + 8x)

Solving
-24 + 30x = 40 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
-24 + 30x + -8x = 40 + 8x + -8x

Combine like terms: 30x + -8x = 22x
-24 + 22x = 40 + 8x + -8x

Combine like terms: 8x + -8x = 0
-24 + 22x = 40 + 0
-24 + 22x = 40

Add '24' to each side of the equation.
-24 + 24 + 22x = 40 + 24

Combine like terms: -24 + 24 = 0
0 + 22x = 40 + 24
22x = 40 + 24

Combine like terms: 40 + 24 = 64
22x = 64

Divide each side by '22'.
x = 2.909090909

Simplifying
x = 2.909090909

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