Question

question
solve for x and simplify the answer fully.
$\frac{4x - 3}{2x - 7} = \frac{5}{3}$
answer
$x = $

Explanation:

Step1: Cross-multiply to eliminate fractions

$$3(4x - 3) = 5(2x - 7)$$

Step2: Expand both sides

$$12x - 9 = 10x - 35$$

Step3: Isolate x terms on left

$$12x - 10x = -35 + 9$$

Step4: Simplify both sides

$$2x = -26$$

Step5: Solve for x

$$x = \frac{-26}{2}$$

Answer:

$x = -13$