6(2x+8)=4(5x-6)

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Solution for 6(2x+8)=4(5x-6) equation:


Simplifying
6(2x + 8) = 4(5x + -6)

Reorder the terms:
6(8 + 2x) = 4(5x + -6)
(8 * 6 + 2x * 6) = 4(5x + -6)
(48 + 12x) = 4(5x + -6)

Reorder the terms:
48 + 12x = 4(-6 + 5x)
48 + 12x = (-6 * 4 + 5x * 4)
48 + 12x = (-24 + 20x)

Solving
48 + 12x = -24 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
48 + 12x + -20x = -24 + 20x + -20x

Combine like terms: 12x + -20x = -8x
48 + -8x = -24 + 20x + -20x

Combine like terms: 20x + -20x = 0
48 + -8x = -24 + 0
48 + -8x = -24

Add '-48' to each side of the equation.
48 + -48 + -8x = -24 + -48

Combine like terms: 48 + -48 = 0
0 + -8x = -24 + -48
-8x = -24 + -48

Combine like terms: -24 + -48 = -72
-8x = -72

Divide each side by '-8'.
x = 9

Simplifying
x = 9

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