(2x+3)+(5x-24)=180

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Solution for (2x+3)+(5x-24)=180 equation:


Simplifying
(2x + 3) + (5x + -24) = 180

Reorder the terms:
(3 + 2x) + (5x + -24) = 180

Remove parenthesis around (3 + 2x)
3 + 2x + (5x + -24) = 180

Reorder the terms:
3 + 2x + (-24 + 5x) = 180

Remove parenthesis around (-24 + 5x)
3 + 2x + -24 + 5x = 180

Reorder the terms:
3 + -24 + 2x + 5x = 180

Combine like terms: 3 + -24 = -21
-21 + 2x + 5x = 180

Combine like terms: 2x + 5x = 7x
-21 + 7x = 180

Solving
-21 + 7x = 180

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 7x = 180 + 21

Combine like terms: -21 + 21 = 0
0 + 7x = 180 + 21
7x = 180 + 21

Combine like terms: 180 + 21 = 201
7x = 201

Divide each side by '7'.
x = 28.71428571

Simplifying
x = 28.71428571

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