x+(x+17)+(3x-24)=598

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Solution for x+(x+17)+(3x-24)=598 equation:


Simplifying
x + (x + 17) + (3x + -24) = 598

Reorder the terms:
x + (17 + x) + (3x + -24) = 598

Remove parenthesis around (17 + x)
x + 17 + x + (3x + -24) = 598

Reorder the terms:
x + 17 + x + (-24 + 3x) = 598

Remove parenthesis around (-24 + 3x)
x + 17 + x + -24 + 3x = 598

Reorder the terms:
17 + -24 + x + x + 3x = 598

Combine like terms: 17 + -24 = -7
-7 + x + x + 3x = 598

Combine like terms: x + x = 2x
-7 + 2x + 3x = 598

Combine like terms: 2x + 3x = 5x
-7 + 5x = 598

Solving
-7 + 5x = 598

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 5x = 598 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 598 + 7
5x = 598 + 7

Combine like terms: 598 + 7 = 605
5x = 605

Divide each side by '5'.
x = 121

Simplifying
x = 121

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