Question

what is the value of x? solve the equation by using the distributive property first.there are many ways to solve this equation. try to start by distributing first. use the distributive property to rewrite the equation.$\frac{2}{3}(x - \frac{3}{2}) = 5$$square = square$

Explanation:

Step1: Apply distributive property

$\frac{2}{3}x - \frac{2}{3} \times \frac{3}{2} = 5$

Step2: Simplify the constant term

$\frac{2}{3}x - 1 = 5$

Step3: Isolate the variable term

$\frac{2}{3}x = 5 + 1$
$\frac{2}{3}x = 6$

Step4: Solve for x

$x = 6 \times \frac{3}{2}$
$x = 9$

Answer:

$x = 9$
The rewritten equation after distribution is $\boldsymbol{\frac{2}{3}x - 1 = 5}$