(3x+4)+(5x+6)=180

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Solution for (3x+4)+(5x+6)=180 equation:


Simplifying
(3x + 4) + (5x + 6) = 180

Reorder the terms:
(4 + 3x) + (5x + 6) = 180

Remove parenthesis around (4 + 3x)
4 + 3x + (5x + 6) = 180

Reorder the terms:
4 + 3x + (6 + 5x) = 180

Remove parenthesis around (6 + 5x)
4 + 3x + 6 + 5x = 180

Reorder the terms:
4 + 6 + 3x + 5x = 180

Combine like terms: 4 + 6 = 10
10 + 3x + 5x = 180

Combine like terms: 3x + 5x = 8x
10 + 8x = 180

Solving
10 + 8x = 180

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 8x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 180 + -10
8x = 180 + -10

Combine like terms: 180 + -10 = 170
8x = 170

Divide each side by '8'.
x = 21.25

Simplifying
x = 21.25

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