x+(20x+10)+2(20x+10)=550

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Solution for x+(20x+10)+2(20x+10)=550 equation:


Simplifying
x + (20x + 10) + 2(20x + 10) = 550

Reorder the terms:
x + (10 + 20x) + 2(20x + 10) = 550

Remove parenthesis around (10 + 20x)
x + 10 + 20x + 2(20x + 10) = 550

Reorder the terms:
x + 10 + 20x + 2(10 + 20x) = 550
x + 10 + 20x + (10 * 2 + 20x * 2) = 550
x + 10 + 20x + (20 + 40x) = 550

Reorder the terms:
10 + 20 + x + 20x + 40x = 550

Combine like terms: 10 + 20 = 30
30 + x + 20x + 40x = 550

Combine like terms: x + 20x = 21x
30 + 21x + 40x = 550

Combine like terms: 21x + 40x = 61x
30 + 61x = 550

Solving
30 + 61x = 550

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 61x = 550 + -30

Combine like terms: 30 + -30 = 0
0 + 61x = 550 + -30
61x = 550 + -30

Combine like terms: 550 + -30 = 520
61x = 520

Divide each side by '61'.
x = 8.524590164

Simplifying
x = 8.524590164

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