(3x+10)+40=(8x+20)

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Solution for (3x+10)+40=(8x+20) equation:


Simplifying
(3x + 10) + 40 = (8x + 20)

Reorder the terms:
(10 + 3x) + 40 = (8x + 20)

Remove parenthesis around (10 + 3x)
10 + 3x + 40 = (8x + 20)

Reorder the terms:
10 + 40 + 3x = (8x + 20)

Combine like terms: 10 + 40 = 50
50 + 3x = (8x + 20)

Reorder the terms:
50 + 3x = (20 + 8x)

Remove parenthesis around (20 + 8x)
50 + 3x = 20 + 8x

Solving
50 + 3x = 20 + 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.
50 + 3x + -8x = 20 + 8x + -8x

Combine like terms: 3x + -8x = -5x
50 + -5x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
50 + -5x = 20 + 0
50 + -5x = 20

Add '-50' to each side of the equation.
50 + -50 + -5x = 20 + -50

Combine like terms: 50 + -50 = 0
0 + -5x = 20 + -50
-5x = 20 + -50

Combine like terms: 20 + -50 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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