Question

Solve for x: 3-x = 3(6x-9). Describe the process used to solve the equation and show each step.

Answer 1

Answer:

$x=1.578$

Step-by-step explanation:

Given equation is $3-x = 3(6x-9)$

We need to find the value of $x$

$3-x = 3(6x-9)$

Distribute $3$ in the right-hand side  

$3-x=18x-27$

Add both sides $x$

$3-x+x=18x+x-27\\3=19x-27$

Now, add both sides $27$

$3+27=19x-27+27\\30=19x$

Divide both sides by $19$

$\frac{30}{19}=\frac{19x}{19}\\x=1.578$

So, $x=1.578$