(3x+16)+(10x-28)=180

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Solution for (3x+16)+(10x-28)=180 equation:


Simplifying
(3x + 16) + (10x + -28) = 180

Reorder the terms:
(16 + 3x) + (10x + -28) = 180

Remove parenthesis around (16 + 3x)
16 + 3x + (10x + -28) = 180

Reorder the terms:
16 + 3x + (-28 + 10x) = 180

Remove parenthesis around (-28 + 10x)
16 + 3x + -28 + 10x = 180

Reorder the terms:
16 + -28 + 3x + 10x = 180

Combine like terms: 16 + -28 = -12
-12 + 3x + 10x = 180

Combine like terms: 3x + 10x = 13x
-12 + 13x = 180

Solving
-12 + 13x = 180

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 13x = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 13x = 180 + 12
13x = 180 + 12

Combine like terms: 180 + 12 = 192
13x = 192

Divide each side by '13'.
x = 14.76923077

Simplifying
x = 14.76923077

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