(6x+12)+(16x+4)+(18x+4)=180

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Solution for (6x+12)+(16x+4)+(18x+4)=180 equation:


Simplifying
(6x + 12) + (16x + 4) + (18x + 4) = 180

Reorder the terms:
(12 + 6x) + (16x + 4) + (18x + 4) = 180

Remove parenthesis around (12 + 6x)
12 + 6x + (16x + 4) + (18x + 4) = 180

Reorder the terms:
12 + 6x + (4 + 16x) + (18x + 4) = 180

Remove parenthesis around (4 + 16x)
12 + 6x + 4 + 16x + (18x + 4) = 180

Reorder the terms:
12 + 6x + 4 + 16x + (4 + 18x) = 180

Remove parenthesis around (4 + 18x)
12 + 6x + 4 + 16x + 4 + 18x = 180

Reorder the terms:
12 + 4 + 4 + 6x + 16x + 18x = 180

Combine like terms: 12 + 4 = 16
16 + 4 + 6x + 16x + 18x = 180

Combine like terms: 16 + 4 = 20
20 + 6x + 16x + 18x = 180

Combine like terms: 6x + 16x = 22x
20 + 22x + 18x = 180

Combine like terms: 22x + 18x = 40x
20 + 40x = 180

Solving
20 + 40x = 180

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 40x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 40x = 180 + -20
40x = 180 + -20

Combine like terms: 180 + -20 = 160
40x = 160

Divide each side by '40'.
x = 4

Simplifying
x = 4

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