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

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


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

Reorder the terms:
5(-3 + 4x) = 6(3x + 4)
(-3 * 5 + 4x * 5) = 6(3x + 4)
(-15 + 20x) = 6(3x + 4)

Reorder the terms:
-15 + 20x = 6(4 + 3x)
-15 + 20x = (4 * 6 + 3x * 6)
-15 + 20x = (24 + 18x)

Solving
-15 + 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.
-15 + 20x + -18x = 24 + 18x + -18x

Combine like terms: 20x + -18x = 2x
-15 + 2x = 24 + 18x + -18x

Combine like terms: 18x + -18x = 0
-15 + 2x = 24 + 0
-15 + 2x = 24

Add '15' to each side of the equation.
-15 + 15 + 2x = 24 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 24 + 15
2x = 24 + 15

Combine like terms: 24 + 15 = 39
2x = 39

Divide each side by '2'.
x = 19.5

Simplifying
x = 19.5

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