(6x+10)+(15x+23)=180

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Solution for (6x+10)+(15x+23)=180 equation:


Simplifying
(6x + 10) + (15x + 23) = 180

Reorder the terms:
(10 + 6x) + (15x + 23) = 180

Remove parenthesis around (10 + 6x)
10 + 6x + (15x + 23) = 180

Reorder the terms:
10 + 6x + (23 + 15x) = 180

Remove parenthesis around (23 + 15x)
10 + 6x + 23 + 15x = 180

Reorder the terms:
10 + 23 + 6x + 15x = 180

Combine like terms: 10 + 23 = 33
33 + 6x + 15x = 180

Combine like terms: 6x + 15x = 21x
33 + 21x = 180

Solving
33 + 21x = 180

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 21x = 180 + -33

Combine like terms: 33 + -33 = 0
0 + 21x = 180 + -33
21x = 180 + -33

Combine like terms: 180 + -33 = 147
21x = 147

Divide each side by '21'.
x = 7

Simplifying
x = 7

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