11=3/4(3x+12)

Answer 1

To solve this equation, we need to distribute the fraction 3/4 to the expression (3x + 12) on the right side of the equation.

11 = (3/4)(3x + 12)

Now, multiply both the numerator and denominator of the fraction by 4 to eliminate the fraction.

11 = (3 * 4) / (4 * 1) * (3x + 12)

Simplifying further.

11 = (12 / 4) * (3x + 12)

11 = 3 * (3x + 12)

Now, distribute 3 to the expression (3x + 12).

11 = 9x + 36

Subtract 36 from both sides of the equation to isolate the variable.

11 - 36 = 9x + 36 - 36

-25 = 9x

Now, divide both sides by 9 to solve for x.

-25 / 9 = 9x / 9

-25/9 = x

Therefore, the solution to the equation 11 = (3/4)(3x + 12) is x = -25/9.