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

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


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

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

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

Solving
-16 + 8x = 24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-16 + 8x + -3x = 24 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-16 + 5x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 5x = 24 + 0
-16 + 5x = 24

Add '16' to each side of the equation.
-16 + 16 + 5x = 24 + 16

Combine like terms: -16 + 16 = 0
0 + 5x = 24 + 16
5x = 24 + 16

Combine like terms: 24 + 16 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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