(4x+14)+(3x+3)+(2x+10)=180

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Solution for (4x+14)+(3x+3)+(2x+10)=180 equation:


Simplifying
(4x + 14) + (3x + 3) + (2x + 10) = 180

Reorder the terms:
(14 + 4x) + (3x + 3) + (2x + 10) = 180

Remove parenthesis around (14 + 4x)
14 + 4x + (3x + 3) + (2x + 10) = 180

Reorder the terms:
14 + 4x + (3 + 3x) + (2x + 10) = 180

Remove parenthesis around (3 + 3x)
14 + 4x + 3 + 3x + (2x + 10) = 180

Reorder the terms:
14 + 4x + 3 + 3x + (10 + 2x) = 180

Remove parenthesis around (10 + 2x)
14 + 4x + 3 + 3x + 10 + 2x = 180

Reorder the terms:
14 + 3 + 10 + 4x + 3x + 2x = 180

Combine like terms: 14 + 3 = 17
17 + 10 + 4x + 3x + 2x = 180

Combine like terms: 17 + 10 = 27
27 + 4x + 3x + 2x = 180

Combine like terms: 4x + 3x = 7x
27 + 7x + 2x = 180

Combine like terms: 7x + 2x = 9x
27 + 9x = 180

Solving
27 + 9x = 180

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 9x = 180 + -27

Combine like terms: 27 + -27 = 0
0 + 9x = 180 + -27
9x = 180 + -27

Combine like terms: 180 + -27 = 153
9x = 153

Divide each side by '9'.
x = 17

Simplifying
x = 17

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