5(6x-4)=2(4x+1)

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Solution for 5(6x-4)=2(4x+1) equation:


Simplifying
5(6x + -4) = 2(4x + 1)

Reorder the terms:
5(-4 + 6x) = 2(4x + 1)
(-4 * 5 + 6x * 5) = 2(4x + 1)
(-20 + 30x) = 2(4x + 1)

Reorder the terms:
-20 + 30x = 2(1 + 4x)
-20 + 30x = (1 * 2 + 4x * 2)
-20 + 30x = (2 + 8x)

Solving
-20 + 30x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-20 + 30x + -8x = 2 + 8x + -8x

Combine like terms: 30x + -8x = 22x
-20 + 22x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-20 + 22x = 2 + 0
-20 + 22x = 2

Add '20' to each side of the equation.
-20 + 20 + 22x = 2 + 20

Combine like terms: -20 + 20 = 0
0 + 22x = 2 + 20
22x = 2 + 20

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

Divide each side by '22'.
x = 1

Simplifying
x = 1

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