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

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


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

Reorder the terms:
3(-2 + 5x) = 5(x + 4)
(-2 * 3 + 5x * 3) = 5(x + 4)
(-6 + 15x) = 5(x + 4)

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

Solving
-6 + 15x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 15x + -5x = 20 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-6 + 10x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 10x = 20 + 0
-6 + 10x = 20

Add '6' to each side of the equation.
-6 + 6 + 10x = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 20 + 6
10x = 20 + 6

Combine like terms: 20 + 6 = 26
10x = 26

Divide each side by '10'.
x = 2.6

Simplifying
x = 2.6

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