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

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


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

Reorder the terms:
8(9 + 2x) = 4(6x + -2)
(9 * 8 + 2x * 8) = 4(6x + -2)
(72 + 16x) = 4(6x + -2)

Reorder the terms:
72 + 16x = 4(-2 + 6x)
72 + 16x = (-2 * 4 + 6x * 4)
72 + 16x = (-8 + 24x)

Solving
72 + 16x = -8 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
72 + 16x + -24x = -8 + 24x + -24x

Combine like terms: 16x + -24x = -8x
72 + -8x = -8 + 24x + -24x

Combine like terms: 24x + -24x = 0
72 + -8x = -8 + 0
72 + -8x = -8

Add '-72' to each side of the equation.
72 + -72 + -8x = -8 + -72

Combine like terms: 72 + -72 = 0
0 + -8x = -8 + -72
-8x = -8 + -72

Combine like terms: -8 + -72 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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