3(x-8)=2(3x+21)

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Solution for 3(x-8)=2(3x+21) equation:


Simplifying
3(x + -8) = 2(3x + 21)

Reorder the terms:
3(-8 + x) = 2(3x + 21)
(-8 * 3 + x * 3) = 2(3x + 21)
(-24 + 3x) = 2(3x + 21)

Reorder the terms:
-24 + 3x = 2(21 + 3x)
-24 + 3x = (21 * 2 + 3x * 2)
-24 + 3x = (42 + 6x)

Solving
-24 + 3x = 42 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-24 + 3x + -6x = 42 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-24 + -3x = 42 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + -3x = 42 + 0
-24 + -3x = 42

Add '24' to each side of the equation.
-24 + 24 + -3x = 42 + 24

Combine like terms: -24 + 24 = 0
0 + -3x = 42 + 24
-3x = 42 + 24

Combine like terms: 42 + 24 = 66
-3x = 66

Divide each side by '-3'.
x = -22

Simplifying
x = -22

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