Solve 9x − 6 = 147

The solution of 9x − 6 = 147 is x = 17.

9x - 6 = 147\ \Rightarrow\ x = 17

Explain it step by step in chat Make a short video of it

The lines y = 9x − 6 and y = 147 meet at x = 17. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$9x - 6 = 147$
2
Add 6 to both sides:
$9x - 6 + 6 = 147 + 6 \ \Rightarrow\ 9x = 153$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$9\cdot17 - 6 = 153 - 6 = 147 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 6 = 147\ \Rightarrow\ x = 17 \]
\[ 9x - 6 = 147 \]
\[ 9x - 6 + 6 = 147 + 6 \ \Rightarrow\ 9x = 153 \]
\[ \frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17 \]
\[ 9\cdot17 - 6 = 153 - 6 = 147 \checkmark \]

Trying values of x in 9x − 6 = 147

x	9x − 6	Equals 147?
15	129	no
16	138	no
17	147	yes
18	156	no
19	165	no

Questions

What is x in 9x − 6 = 147?

The solution of 9x − 6 = 147 is x = 17.

How do you solve 9x − 6 = 147?

Add 6 to both sides to get 9x = 153, then divide both sides by 9 to get x = 17.

How do I check the answer?

Replace x by 17: 9(17) − 6 = 147, which is 147.

Solve 9x − 6 = 147

How to work it out

Trying values of x in 9x − 6 = 147

Questions

Similar equations