3(x+8)=2(3x+24)

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Solution for 3(x+8)=2(3x+24) equation:


Simplifying
3(x + 8) = 2(3x + 24)

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

Reorder the terms:
24 + 3x = 2(24 + 3x)
24 + 3x = (24 * 2 + 3x * 2)
24 + 3x = (48 + 6x)

Solving
24 + 3x = 48 + 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 = 48 + 6x + -6x

Combine like terms: 3x + -6x = -3x
24 + -3x = 48 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -3x = 48 + 0
24 + -3x = 48

Add '-24' to each side of the equation.
24 + -24 + -3x = 48 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = 48 + -24
-3x = 48 + -24

Combine like terms: 48 + -24 = 24
-3x = 24

Divide each side by '-3'.
x = -8

Simplifying
x = -8

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