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

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


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

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

Reorder the terms:
-6 + 3x = 8(8 + x)
-6 + 3x = (8 * 8 + x * 8)
-6 + 3x = (64 + 8x)

Solving
-6 + 3x = 64 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 3x + -8x = 64 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-6 + -5x = 64 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -5x = 64 + 0
-6 + -5x = 64

Add '6' to each side of the equation.
-6 + 6 + -5x = 64 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 64 + 6
-5x = 64 + 6

Combine like terms: 64 + 6 = 70
-5x = 70

Divide each side by '-5'.
x = -14

Simplifying
x = -14

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