Solve 9x + 10 = −26

The solution of 9x + 10 = −26 is x = -4.

9x + 10 = -26\ \Rightarrow\ x = -4

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

The lines y = 9x + 10 and y = -26 meet at x = -4. 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 addition, then the multiplication.
$9x + 10 = -26$
2
Subtract 10 from both sides:
$9x + 10 - 10 = -26 - 10 \ \Rightarrow\ 9x = -36$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-36}{9} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$9\cdot(-4) + 10 = -36 + 10 = -26 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 10 = -26\ \Rightarrow\ x = -4 \]
\[ 9x + 10 = -26 \]
\[ 9x + 10 - 10 = -26 - 10 \ \Rightarrow\ 9x = -36 \]
\[ \frac{9x}{9} = \frac{-36}{9} \ \Rightarrow\ x = -4 \]
\[ 9\cdot(-4) + 10 = -36 + 10 = -26 \checkmark \]

Trying values of x in 9x + 10 = −26

x	9x + 10	Equals -26?
-6	-44	no
-5	-35	no
-4	-26	yes
-3	-17	no
-2	-8	no

Questions

What is x in 9x + 10 = −26?

The solution of 9x + 10 = −26 is x = -4.

How do you solve 9x + 10 = −26?

Subtract 10 from both sides to get 9x = -36, then divide both sides by 9 to get x = -4.

How do I check the answer?

Replace x by -4: 9(-4) + 10 = -26, which is -26.

Solve 9x + 10 = −26

How to work it out

Trying values of x in 9x + 10 = −26

Questions

Similar equations