Question

what is the value of x in the equation $2.5(6x - 4)=10 + 4(1.5 + 0.5x)$?
$\frac{1}{3}$
$\frac{4}{3}$
2
13

Explanation:

Step1: Expand both sides

$2.5\times6x - 2.5\times4 = 10 + 4\times1.5 + 4\times0.5x$
$15x - 10 = 10 + 6 + 2x$

Step2: Simplify right-hand side

$15x - 10 = 16 + 2x$

Step3: Isolate x terms

$15x - 2x = 16 + 10$
$13x = 26$

Step4: Solve for x

$x = \frac{26}{13}$

Answer:

$\boldsymbol{2}$ (Option: $\boldsymbol{2}$)