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

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


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

Reorder the terms:
3(-4 + 2x) = 5(x + 2)
(-4 * 3 + 2x * 3) = 5(x + 2)
(-12 + 6x) = 5(x + 2)

Reorder the terms:
-12 + 6x = 5(2 + x)
-12 + 6x = (2 * 5 + x * 5)
-12 + 6x = (10 + 5x)

Solving
-12 + 6x = 10 + 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.
-12 + 6x + -5x = 10 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-12 + 1x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 1x = 10 + 0
-12 + 1x = 10

Add '12' to each side of the equation.
-12 + 12 + 1x = 10 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 10 + 12
1x = 10 + 12

Combine like terms: 10 + 12 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22

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