Solve 10x + 10 = −20

The solution of 10x + 10 = −20 is x = -3.

10x + 10 = -20\ \Rightarrow\ x = -3

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

The lines y = 10x + 10 and y = -20 meet at x = -3. 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.
$10x + 10 = -20$
2
Subtract 10 from both sides:
$10x + 10 - 10 = -20 - 10 \ \Rightarrow\ 10x = -30$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-30}{10} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$10\cdot(-3) + 10 = -30 + 10 = -20 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 10 = -20\ \Rightarrow\ x = -3 \]
\[ 10x + 10 = -20 \]
\[ 10x + 10 - 10 = -20 - 10 \ \Rightarrow\ 10x = -30 \]
\[ \frac{10x}{10} = \frac{-30}{10} \ \Rightarrow\ x = -3 \]
\[ 10\cdot(-3) + 10 = -30 + 10 = -20 \checkmark \]

Trying values of x in 10x + 10 = −20

x	10x + 10	Equals -20?
-5	-40	no
-4	-30	no
-3	-20	yes
-2	-10	no
-1	0	no

Questions

What is x in 10x + 10 = −20?

The solution of 10x + 10 = −20 is x = -3.

How do you solve 10x + 10 = −20?

Subtract 10 from both sides to get 10x = -30, then divide both sides by 10 to get x = -3.

How do I check the answer?

Replace x by -3: 10(-3) + 10 = -20, which is -20.

Solve 10x + 10 = −20

How to work it out

Trying values of x in 10x + 10 = −20

Questions

Similar equations