2(3x-5)=3(4x+8)

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Solution for 2(3x-5)=3(4x+8) equation:


Simplifying
2(3x + -5) = 3(4x + 8)

Reorder the terms:
2(-5 + 3x) = 3(4x + 8)
(-5 * 2 + 3x * 2) = 3(4x + 8)
(-10 + 6x) = 3(4x + 8)

Reorder the terms:
-10 + 6x = 3(8 + 4x)
-10 + 6x = (8 * 3 + 4x * 3)
-10 + 6x = (24 + 12x)

Solving
-10 + 6x = 24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-10 + 6x + -12x = 24 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-10 + -6x = 24 + 12x + -12x

Combine like terms: 12x + -12x = 0
-10 + -6x = 24 + 0
-10 + -6x = 24

Add '10' to each side of the equation.
-10 + 10 + -6x = 24 + 10

Combine like terms: -10 + 10 = 0
0 + -6x = 24 + 10
-6x = 24 + 10

Combine like terms: 24 + 10 = 34
-6x = 34

Divide each side by '-6'.
x = -5.666666667

Simplifying
x = -5.666666667

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