12x+12+15x+5=180-13x+10

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Solution for 12x+12+15x+5=180-13x+10 equation:


Simplifying
12x + 12 + 15x + 5 = 180 + -13x + 10

Reorder the terms:
12 + 5 + 12x + 15x = 180 + -13x + 10

Combine like terms: 12 + 5 = 17
17 + 12x + 15x = 180 + -13x + 10

Combine like terms: 12x + 15x = 27x
17 + 27x = 180 + -13x + 10

Reorder the terms:
17 + 27x = 180 + 10 + -13x

Combine like terms: 180 + 10 = 190
17 + 27x = 190 + -13x

Solving
17 + 27x = 190 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
17 + 27x + 13x = 190 + -13x + 13x

Combine like terms: 27x + 13x = 40x
17 + 40x = 190 + -13x + 13x

Combine like terms: -13x + 13x = 0
17 + 40x = 190 + 0
17 + 40x = 190

Add '-17' to each side of the equation.
17 + -17 + 40x = 190 + -17

Combine like terms: 17 + -17 = 0
0 + 40x = 190 + -17
40x = 190 + -17

Combine like terms: 190 + -17 = 173
40x = 173

Divide each side by '40'.
x = 4.325

Simplifying
x = 4.325

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