Solve 11x + 10 = −78

The solution of 11x + 10 = −78 is x = -8.

11x + 10 = -78\ \Rightarrow\ x = -8

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The lines y = 11x + 10 and y = -78 meet at x = -8. 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.
$11x + 10 = -78$
2
Subtract 10 from both sides:
$11x + 10 - 10 = -78 - 10 \ \Rightarrow\ 11x = -88$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$11\cdot(-8) + 10 = -88 + 10 = -78 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 10 = -78\ \Rightarrow\ x = -8 \]
\[ 11x + 10 = -78 \]
\[ 11x + 10 - 10 = -78 - 10 \ \Rightarrow\ 11x = -88 \]
\[ \frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8 \]
\[ 11\cdot(-8) + 10 = -88 + 10 = -78 \checkmark \]

Trying values of x in 11x + 10 = −78

x	11x + 10	Equals -78?
-10	-100	no
-9	-89	no
-8	-78	yes
-7	-67	no
-6	-56	no

Questions

What is x in 11x + 10 = −78?

The solution of 11x + 10 = −78 is x = -8.

How do you solve 11x + 10 = −78?

Subtract 10 from both sides to get 11x = -88, then divide both sides by 11 to get x = -8.

How do I check the answer?

Replace x by -8: 11(-8) + 10 = -78, which is -78.

Solve 11x + 10 = −78

How to work it out

Trying values of x in 11x + 10 = −78

Questions

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