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

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


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

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

Reorder the terms:
-8 + 6x = 3(5 + 4x)
-8 + 6x = (5 * 3 + 4x * 3)
-8 + 6x = (15 + 12x)

Solving
-8 + 6x = 15 + 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.
-8 + 6x + -12x = 15 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-8 + -6x = 15 + 12x + -12x

Combine like terms: 12x + -12x = 0
-8 + -6x = 15 + 0
-8 + -6x = 15

Add '8' to each side of the equation.
-8 + 8 + -6x = 15 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = 15 + 8
-6x = 15 + 8

Combine like terms: 15 + 8 = 23
-6x = 23

Divide each side by '-6'.
x = -3.833333333

Simplifying
x = -3.833333333

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