Solve 8x + 11 = −61

The solution of 8x + 11 = −61 is x = -9.

8x + 11 = -61\ \Rightarrow\ x = -9

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The lines y = 8x + 11 and y = -61 meet at x = -9. 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.
$8x + 11 = -61$
2
Subtract 11 from both sides:
$8x + 11 - 11 = -61 - 11 \ \Rightarrow\ 8x = -72$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-72}{8} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$8\cdot(-9) + 11 = -72 + 11 = -61 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 11 = -61\ \Rightarrow\ x = -9 \]
\[ 8x + 11 = -61 \]
\[ 8x + 11 - 11 = -61 - 11 \ \Rightarrow\ 8x = -72 \]
\[ \frac{8x}{8} = \frac{-72}{8} \ \Rightarrow\ x = -9 \]
\[ 8\cdot(-9) + 11 = -72 + 11 = -61 \checkmark \]

Trying values of x in 8x + 11 = −61

x	8x + 11	Equals -61?
-11	-77	no
-10	-69	no
-9	-61	yes
-8	-53	no
-7	-45	no

Questions

What is x in 8x + 11 = −61?

The solution of 8x + 11 = −61 is x = -9.

How do you solve 8x + 11 = −61?

Subtract 11 from both sides to get 8x = -72, then divide both sides by 8 to get x = -9.

How do I check the answer?

Replace x by -9: 8(-9) + 11 = -61, which is -61.

Solve 8x + 11 = −61

How to work it out

Trying values of x in 8x + 11 = −61

Questions

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