Question

-(x-7)+five over three =2(x+9)

Answer 1

Answer:

$x=-3\frac{1}{9}$

Step-by-step explanation:

Given expression:

$-(x-7)+\frac{5}{3}=2(x+9)$

To solve for $x$

Solution:

Using distribution:

$-x-(-7)+\frac{5}{3}=2x+2(9)$

$-x+7+\frac{5}{3}=2x+18$

Adding $x$ to both sides.

$-x+7+\frac{5}{3}+x=2x+18+x$

$7+\frac{5}{3}=3x+18$

Subtracting 18 from both sides.

$7+\frac{5}{3}-18=3x+18-18$

$\frac{5}{3}-11=3x$

Multiplying each term with 3 to remove fractions.

$3\times\frac{5}{3}-3(11)=3\times 3x$

$5-33=9x$

$-28=9x$

Dividing both sides by 9.

$\frac{-28}{9}=\frac{9x}{9}$

∴ $x=-3\frac{1}{9}$ (Answer)