5(2x-6)=2(3x+1)

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Solution for 5(2x-6)=2(3x+1) equation:


Simplifying
5(2x + -6) = 2(3x + 1)

Reorder the terms:
5(-6 + 2x) = 2(3x + 1)
(-6 * 5 + 2x * 5) = 2(3x + 1)
(-30 + 10x) = 2(3x + 1)

Reorder the terms:
-30 + 10x = 2(1 + 3x)
-30 + 10x = (1 * 2 + 3x * 2)
-30 + 10x = (2 + 6x)

Solving
-30 + 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.
-30 + 10x + -6x = 2 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-30 + 4x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-30 + 4x = 2 + 0
-30 + 4x = 2

Add '30' to each side of the equation.
-30 + 30 + 4x = 2 + 30

Combine like terms: -30 + 30 = 0
0 + 4x = 2 + 30
4x = 2 + 30

Combine like terms: 2 + 30 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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