Solve 10x − 10 = −40

The solution of 10x − 10 = −40 is x = -3.

10x - 10 = -40\ \Rightarrow\ x = -3

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The lines y = 10x − 10 and y = -40 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 subtraction, then the multiplication.
$10x - 10 = -40$
2
Add 10 to both sides:
$10x - 10 + 10 = -40 + 10 \ \Rightarrow\ 10x = -30$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-30}{10} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$10\cdot(-3) - 10 = -30 - 10 = -40 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 10 = -40\ \Rightarrow\ x = -3 \]
\[ 10x - 10 = -40 \]
\[ 10x - 10 + 10 = -40 + 10 \ \Rightarrow\ 10x = -30 \]
\[ \frac{10x}{10} = \frac{-30}{10} \ \Rightarrow\ x = -3 \]
\[ 10\cdot(-3) - 10 = -30 - 10 = -40 \checkmark \]

Trying values of x in 10x − 10 = −40

x	10x − 10	Equals -40?
-5	-60	no
-4	-50	no
-3	-40	yes
-2	-30	no
-1	-20	no

Questions

What is x in 10x − 10 = −40?

The solution of 10x − 10 = −40 is x = -3.

How do you solve 10x − 10 = −40?

Add 10 to 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 = -40, which is -40.

Solve 10x − 10 = −40

How to work it out

Trying values of x in 10x − 10 = −40

Questions

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