(4x+10)+(2x+20)=(8x-40)

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Solution for (4x+10)+(2x+20)=(8x-40) equation:


Simplifying
(4x + 10) + (2x + 20) = (8x + -40)

Reorder the terms:
(10 + 4x) + (2x + 20) = (8x + -40)

Remove parenthesis around (10 + 4x)
10 + 4x + (2x + 20) = (8x + -40)

Reorder the terms:
10 + 4x + (20 + 2x) = (8x + -40)

Remove parenthesis around (20 + 2x)
10 + 4x + 20 + 2x = (8x + -40)

Reorder the terms:
10 + 20 + 4x + 2x = (8x + -40)

Combine like terms: 10 + 20 = 30
30 + 4x + 2x = (8x + -40)

Combine like terms: 4x + 2x = 6x
30 + 6x = (8x + -40)

Reorder the terms:
30 + 6x = (-40 + 8x)

Remove parenthesis around (-40 + 8x)
30 + 6x = -40 + 8x

Solving
30 + 6x = -40 + 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.
30 + 6x + -8x = -40 + 8x + -8x

Combine like terms: 6x + -8x = -2x
30 + -2x = -40 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + -2x = -40 + 0
30 + -2x = -40

Add '-30' to each side of the equation.
30 + -30 + -2x = -40 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = -40 + -30
-2x = -40 + -30

Combine like terms: -40 + -30 = -70
-2x = -70

Divide each side by '-2'.
x = 35

Simplifying
x = 35

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