Solve 11x + 14 = −63

The solution of 11x + 14 = −63 is x = -7.

11x + 14 = -63\ \Rightarrow\ x = -7

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

The lines y = 11x + 14 and y = -63 meet at x = -7. 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.
$11x + 14 = -63$
2
Subtract 14 from both sides:
$11x + 14 - 14 = -63 - 14 \ \Rightarrow\ 11x = -77$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$11\cdot(-7) + 14 = -77 + 14 = -63 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 14 = -63\ \Rightarrow\ x = -7 \]
\[ 11x + 14 = -63 \]
\[ 11x + 14 - 14 = -63 - 14 \ \Rightarrow\ 11x = -77 \]
\[ \frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7 \]
\[ 11\cdot(-7) + 14 = -77 + 14 = -63 \checkmark \]

Trying values of x in 11x + 14 = −63

x	11x + 14	Equals -63?
-9	-85	no
-8	-74	no
-7	-63	yes
-6	-52	no
-5	-41	no

Questions

What is x in 11x + 14 = −63?

The solution of 11x + 14 = −63 is x = -7.

How do you solve 11x + 14 = −63?

Subtract 14 from both sides to get 11x = -77, then divide both sides by 11 to get x = -7.

How do I check the answer?

Replace x by -7: 11(-7) + 14 = -63, which is -63.

Solve 11x + 14 = −63

How to work it out

Trying values of x in 11x + 14 = −63

Questions

Similar equations