Solve for x in the equation 8/11 ( x + 4/5 ) = 24/55

1 answer

To solve for x in the equation:

(8/11)(x + 4/5) = 24/55

First, let's distribute the (8/11) on the left side of the equation:

(8/11)(x) + (8/11)(4/5) = 24/55

Simplifying the equation further:

(8x/11) + (32/55) = 24/55

Next, we need to move the (32/55) term to the right side by subtracting (32/55) from both sides:

(8x/11) = 24/55 - 32/55

(8x/11) = -8/55

To isolate x, we multiply both sides by (11/8):

x = (-8/55) * (11/8)

Simplifying the right side of the equation:

x = -88/440

x = -1/5

Therefore, the solution to the equation is x = -1/5.