(2x+41)+(5x-21)=90

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Solution for (2x+41)+(5x-21)=90 equation:


Simplifying
(2x + 41) + (5x + -21) = 90

Reorder the terms:
(41 + 2x) + (5x + -21) = 90

Remove parenthesis around (41 + 2x)
41 + 2x + (5x + -21) = 90

Reorder the terms:
41 + 2x + (-21 + 5x) = 90

Remove parenthesis around (-21 + 5x)
41 + 2x + -21 + 5x = 90

Reorder the terms:
41 + -21 + 2x + 5x = 90

Combine like terms: 41 + -21 = 20
20 + 2x + 5x = 90

Combine like terms: 2x + 5x = 7x
20 + 7x = 90

Solving
20 + 7x = 90

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 7x = 90 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = 90 + -20
7x = 90 + -20

Combine like terms: 90 + -20 = 70
7x = 70

Divide each side by '7'.
x = 10

Simplifying
x = 10

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