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

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


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

Reorder the terms:
5(-4 + 2x) = 2(3x + 1)
(-4 * 5 + 2x * 5) = 2(3x + 1)
(-20 + 10x) = 2(3x + 1)

Reorder the terms:
-20 + 10x = 2(1 + 3x)
-20 + 10x = (1 * 2 + 3x * 2)
-20 + 10x = (2 + 6x)

Solving
-20 + 10x = 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 + 10x + -6x = 2 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-20 + 4x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + 4x = 2 + 0
-20 + 4x = 2

Add '20' to each side of the equation.
-20 + 20 + 4x = 2 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = 2 + 20
4x = 2 + 20

Combine like terms: 2 + 20 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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