3(2x+4)=5(x+8)

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Solution for 3(2x+4)=5(x+8) equation:


Simplifying
3(2x + 4) = 5(x + 8)

Reorder the terms:
3(4 + 2x) = 5(x + 8)
(4 * 3 + 2x * 3) = 5(x + 8)
(12 + 6x) = 5(x + 8)

Reorder the terms:
12 + 6x = 5(8 + x)
12 + 6x = (8 * 5 + x * 5)
12 + 6x = (40 + 5x)

Solving
12 + 6x = 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.
12 + 6x + -5x = 40 + 5x + -5x

Combine like terms: 6x + -5x = 1x
12 + 1x = 40 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 1x = 40 + 0
12 + 1x = 40

Add '-12' to each side of the equation.
12 + -12 + 1x = 40 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 40 + -12
1x = 40 + -12

Combine like terms: 40 + -12 = 28
1x = 28

Divide each side by '1'.
x = 28

Simplifying
x = 28

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