3(x+6)=2(4x+24)

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Solution for 3(x+6)=2(4x+24) equation:


Simplifying
3(x + 6) = 2(4x + 24)

Reorder the terms:
3(6 + x) = 2(4x + 24)
(6 * 3 + x * 3) = 2(4x + 24)
(18 + 3x) = 2(4x + 24)

Reorder the terms:
18 + 3x = 2(24 + 4x)
18 + 3x = (24 * 2 + 4x * 2)
18 + 3x = (48 + 8x)

Solving
18 + 3x = 48 + 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.
18 + 3x + -8x = 48 + 8x + -8x

Combine like terms: 3x + -8x = -5x
18 + -5x = 48 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -5x = 48 + 0
18 + -5x = 48

Add '-18' to each side of the equation.
18 + -18 + -5x = 48 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = 48 + -18
-5x = 48 + -18

Combine like terms: 48 + -18 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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