6(4x-8)=2(9x+10)

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Solution for 6(4x-8)=2(9x+10) equation:


Simplifying
6(4x + -8) = 2(9x + 10)

Reorder the terms:
6(-8 + 4x) = 2(9x + 10)
(-8 * 6 + 4x * 6) = 2(9x + 10)
(-48 + 24x) = 2(9x + 10)

Reorder the terms:
-48 + 24x = 2(10 + 9x)
-48 + 24x = (10 * 2 + 9x * 2)
-48 + 24x = (20 + 18x)

Solving
-48 + 24x = 20 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-48 + 24x + -18x = 20 + 18x + -18x

Combine like terms: 24x + -18x = 6x
-48 + 6x = 20 + 18x + -18x

Combine like terms: 18x + -18x = 0
-48 + 6x = 20 + 0
-48 + 6x = 20

Add '48' to each side of the equation.
-48 + 48 + 6x = 20 + 48

Combine like terms: -48 + 48 = 0
0 + 6x = 20 + 48
6x = 20 + 48

Combine like terms: 20 + 48 = 68
6x = 68

Divide each side by '6'.
x = 11.33333333

Simplifying
x = 11.33333333

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