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

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


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

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

Reorder the terms:
12 + 6x = 4(5 + x)
12 + 6x = (5 * 4 + x * 4)
12 + 6x = (20 + 4x)

Solving
12 + 6x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 6x + -4x = 20 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = 20 + 0
12 + 2x = 20

Add '-12' to each side of the equation.
12 + -12 + 2x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 20 + -12
2x = 20 + -12

Combine like terms: 20 + -12 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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