8(2x-3)=6(2x+6)

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Solution for 8(2x-3)=6(2x+6) equation:


Simplifying
8(2x + -3) = 6(2x + 6)

Reorder the terms:
8(-3 + 2x) = 6(2x + 6)
(-3 * 8 + 2x * 8) = 6(2x + 6)
(-24 + 16x) = 6(2x + 6)

Reorder the terms:
-24 + 16x = 6(6 + 2x)
-24 + 16x = (6 * 6 + 2x * 6)
-24 + 16x = (36 + 12x)

Solving
-24 + 16x = 36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-24 + 16x + -12x = 36 + 12x + -12x

Combine like terms: 16x + -12x = 4x
-24 + 4x = 36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-24 + 4x = 36 + 0
-24 + 4x = 36

Add '24' to each side of the equation.
-24 + 24 + 4x = 36 + 24

Combine like terms: -24 + 24 = 0
0 + 4x = 36 + 24
4x = 36 + 24

Combine like terms: 36 + 24 = 60
4x = 60

Divide each side by '4'.
x = 15

Simplifying
x = 15

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