3(x-5)=8(x+12)

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Solution for 3(x-5)=8(x+12) equation:


Simplifying
3(x + -5) = 8(x + 12)

Reorder the terms:
3(-5 + x) = 8(x + 12)
(-5 * 3 + x * 3) = 8(x + 12)
(-15 + 3x) = 8(x + 12)

Reorder the terms:
-15 + 3x = 8(12 + x)
-15 + 3x = (12 * 8 + x * 8)
-15 + 3x = (96 + 8x)

Solving
-15 + 3x = 96 + 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.
-15 + 3x + -8x = 96 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-15 + -5x = 96 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + -5x = 96 + 0
-15 + -5x = 96

Add '15' to each side of the equation.
-15 + 15 + -5x = 96 + 15

Combine like terms: -15 + 15 = 0
0 + -5x = 96 + 15
-5x = 96 + 15

Combine like terms: 96 + 15 = 111
-5x = 111

Divide each side by '-5'.
x = -22.2

Simplifying
x = -22.2

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