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

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


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

Reorder the terms:
3(-3 + x) = 8(x + 8)
(-3 * 3 + x * 3) = 8(x + 8)
(-9 + 3x) = 8(x + 8)

Reorder the terms:
-9 + 3x = 8(8 + x)
-9 + 3x = (8 * 8 + x * 8)
-9 + 3x = (64 + 8x)

Solving
-9 + 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.
-9 + 3x + -8x = 64 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-9 + -5x = 64 + 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + -5x = 64 + 0
-9 + -5x = 64

Add '9' to each side of the equation.
-9 + 9 + -5x = 64 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = 64 + 9
-5x = 64 + 9

Combine like terms: 64 + 9 = 73
-5x = 73

Divide each side by '-5'.
x = -14.6

Simplifying
x = -14.6

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