8(6x-3)=5(3x+2)

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Solution for 8(6x-3)=5(3x+2) equation:


Simplifying
8(6x + -3) = 5(3x + 2)

Reorder the terms:
8(-3 + 6x) = 5(3x + 2)
(-3 * 8 + 6x * 8) = 5(3x + 2)
(-24 + 48x) = 5(3x + 2)

Reorder the terms:
-24 + 48x = 5(2 + 3x)
-24 + 48x = (2 * 5 + 3x * 5)
-24 + 48x = (10 + 15x)

Solving
-24 + 48x = 10 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-24 + 48x + -15x = 10 + 15x + -15x

Combine like terms: 48x + -15x = 33x
-24 + 33x = 10 + 15x + -15x

Combine like terms: 15x + -15x = 0
-24 + 33x = 10 + 0
-24 + 33x = 10

Add '24' to each side of the equation.
-24 + 24 + 33x = 10 + 24

Combine like terms: -24 + 24 = 0
0 + 33x = 10 + 24
33x = 10 + 24

Combine like terms: 10 + 24 = 34
33x = 34

Divide each side by '33'.
x = 1.03030303

Simplifying
x = 1.03030303

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