Question

how to solve your problem
$25\frac{2}{3}(4x - 12)$
solve the equation

Explanation:

Step1: Rewrite mixed number to fraction

$26\frac{2}{3} = \frac{26\times3 + 2}{3} = \frac{80}{3}$

Step2: Set up full equation

$\frac{80}{3} = 4(x - 12)$

Step3: Isolate the parenthetical term

Divide both sides by 4: $\frac{80}{3\times4} = x - 12$
Simplify: $\frac{20}{3} = x - 12$

Step4: Solve for x

Add 12 to both sides: $x = \frac{20}{3} + 12$
Convert 12 to thirds: $x = \frac{20}{3} + \frac{36}{3}$
Combine fractions: $x = \frac{56}{3}$

Answer:

$x = \frac{56}{3}$ or $18\frac{2}{3}$