3(x-6)=5(x+8)

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Solution for 3(x-6)=5(x+8) equation:


Simplifying
3(x + -6) = 5(x + 8)

Reorder the terms:
3(-6 + x) = 5(x + 8)
(-6 * 3 + x * 3) = 5(x + 8)
(-18 + 3x) = 5(x + 8)

Reorder the terms:
-18 + 3x = 5(8 + x)
-18 + 3x = (8 * 5 + x * 5)
-18 + 3x = (40 + 5x)

Solving
-18 + 3x = 40 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 3x + -5x = 40 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-18 + -2x = 40 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + -2x = 40 + 0
-18 + -2x = 40

Add '18' to each side of the equation.
-18 + 18 + -2x = 40 + 18

Combine like terms: -18 + 18 = 0
0 + -2x = 40 + 18
-2x = 40 + 18

Combine like terms: 40 + 18 = 58
-2x = 58

Divide each side by '-2'.
x = -29

Simplifying
x = -29

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