5(4x+2)=6(3x+4)

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Solution for 5(4x+2)=6(3x+4) equation:


Simplifying
5(4x + 2) = 6(3x + 4)

Reorder the terms:
5(2 + 4x) = 6(3x + 4)
(2 * 5 + 4x * 5) = 6(3x + 4)
(10 + 20x) = 6(3x + 4)

Reorder the terms:
10 + 20x = 6(4 + 3x)
10 + 20x = (4 * 6 + 3x * 6)
10 + 20x = (24 + 18x)

Solving
10 + 20x = 24 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
10 + 20x + -18x = 24 + 18x + -18x

Combine like terms: 20x + -18x = 2x
10 + 2x = 24 + 18x + -18x

Combine like terms: 18x + -18x = 0
10 + 2x = 24 + 0
10 + 2x = 24

Add '-10' to each side of the equation.
10 + -10 + 2x = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 24 + -10
2x = 24 + -10

Combine like terms: 24 + -10 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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