(6x-10)=(2x+20)+(2x+20)

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Solution for (6x-10)=(2x+20)+(2x+20) equation:


Simplifying
(6x + -10) = (2x + 20) + (2x + 20)

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

Remove parenthesis around (-10 + 6x)
-10 + 6x = (2x + 20) + (2x + 20)

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

Remove parenthesis around (20 + 2x)
-10 + 6x = 20 + 2x + (2x + 20)

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

Remove parenthesis around (20 + 2x)
-10 + 6x = 20 + 2x + 20 + 2x

Reorder the terms:
-10 + 6x = 20 + 20 + 2x + 2x

Combine like terms: 20 + 20 = 40
-10 + 6x = 40 + 2x + 2x

Combine like terms: 2x + 2x = 4x
-10 + 6x = 40 + 4x

Solving
-10 + 6x = 40 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 6x + -4x = 40 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-10 + 2x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 2x = 40 + 0
-10 + 2x = 40

Add '10' to each side of the equation.
-10 + 10 + 2x = 40 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 40 + 10
2x = 40 + 10

Combine like terms: 40 + 10 = 50
2x = 50

Divide each side by '2'.
x = 25

Simplifying
x = 25

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