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

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


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

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

Reorder the terms:
8 + 12x = 5(4 + 2x)
8 + 12x = (4 * 5 + 2x * 5)
8 + 12x = (20 + 10x)

Solving
8 + 12x = 20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8 + 12x + -10x = 20 + 10x + -10x

Combine like terms: 12x + -10x = 2x
8 + 2x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + 2x = 20 + 0
8 + 2x = 20

Add '-8' to each side of the equation.
8 + -8 + 2x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 20 + -8
2x = 20 + -8

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

Divide each side by '2'.
x = 6

Simplifying
x = 6

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