what is the value of x in the equation 2.5(6x - 4)=10 + 4(1.5 + 0.5x)?\no $\frac{1}{3}$\no $\frac{1}{2}$\no…

what is the value of x in the equation 2.5(6x - 4)=10 + 4(1.5 + 0.5x)?\no $\frac{1}{3}$\no $\frac{1}{2}$\no 2\no 13

what is the value of x in the equation 2.5(6x - 4)=10 + 4(1.5 + 0.5x)?\no $\frac{1}{3}$\no $\frac{1}{2}$\no 2\no 13

Answer

Explanation:

Step1: Expand both sides

$2.5\times6x-2.5\times4 = 10+4\times1.5+4\times0.5x$ $15x - 10=10 + 6+2x$ $15x - 10=16 + 2x$

Step2: Move terms with x to one - side

$15x-2x=16 + 10$

Step3: Combine like - terms

$13x=26$

Step4: Solve for x

$x=\frac{26}{13}=2$

Answer:

2