5(3x-4)=2(3x+1)

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Solution for 5(3x-4)=2(3x+1) equation:


Simplifying
5(3x + -4) = 2(3x + 1)

Reorder the terms:
5(-4 + 3x) = 2(3x + 1)
(-4 * 5 + 3x * 5) = 2(3x + 1)
(-20 + 15x) = 2(3x + 1)

Reorder the terms:
-20 + 15x = 2(1 + 3x)
-20 + 15x = (1 * 2 + 3x * 2)
-20 + 15x = (2 + 6x)

Solving
-20 + 15x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-20 + 15x + -6x = 2 + 6x + -6x

Combine like terms: 15x + -6x = 9x
-20 + 9x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + 9x = 2 + 0
-20 + 9x = 2

Add '20' to each side of the equation.
-20 + 20 + 9x = 2 + 20

Combine like terms: -20 + 20 = 0
0 + 9x = 2 + 20
9x = 2 + 20

Combine like terms: 2 + 20 = 22
9x = 22

Divide each side by '9'.
x = 2.444444444

Simplifying
x = 2.444444444

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