3(x+5)-7(2x+8)=12

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Solution for 3(x+5)-7(2x+8)=12 equation:


Simplifying
3(x + 5) + -7(2x + 8) = 12

Reorder the terms:
3(5 + x) + -7(2x + 8) = 12
(5 * 3 + x * 3) + -7(2x + 8) = 12
(15 + 3x) + -7(2x + 8) = 12

Reorder the terms:
15 + 3x + -7(8 + 2x) = 12
15 + 3x + (8 * -7 + 2x * -7) = 12
15 + 3x + (-56 + -14x) = 12

Reorder the terms:
15 + -56 + 3x + -14x = 12

Combine like terms: 15 + -56 = -41
-41 + 3x + -14x = 12

Combine like terms: 3x + -14x = -11x
-41 + -11x = 12

Solving
-41 + -11x = 12

Solving for variable 'x'.

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

Add '41' to each side of the equation.
-41 + 41 + -11x = 12 + 41

Combine like terms: -41 + 41 = 0
0 + -11x = 12 + 41
-11x = 12 + 41

Combine like terms: 12 + 41 = 53
-11x = 53

Divide each side by '-11'.
x = -4.818181818

Simplifying
x = -4.818181818

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