6=3/4(10x+16)

Answer 1

To solve this equation, we need to distribute the 3/4 to the terms inside the parentheses:

6 = (3/4)(10x + 16)

Multiply the 3/4 by both terms inside the parentheses:

6 = (3/4)(10x) + (3/4)(16)
6 = (30/4)x + (48/4)

Simplify the fractions:

6 = (15/2)x + 12

To continue solving, we need to isolate the x term. Subtract 12 from both sides of the equation:

6 - 12 = (15/2)x + 12 - 12
-6 = (15/2)x

Now, we divide both sides by 15/2:

(-6) / (15/2) = x
-6 * (2/15) = x
-12/15 = x
Simplify, if necessary, by dividing the numerator and denominator by 3:

-4/5 = x

Therefore, the solution to the equation is x = -4/5.