Solve 8x + 3 = −61

The solution of 8x + 3 = −61 is x = -8.

8x + 3 = -61\ \Rightarrow\ x = -8

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The lines y = 8x + 3 and y = -61 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.
$8x + 3 = -61$
2
Subtract 3 from both sides:
$8x + 3 - 3 = -61 - 3 \ \Rightarrow\ 8x = -64$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-64}{8} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$8\cdot(-8) + 3 = -64 + 3 = -61 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 3 = -61\ \Rightarrow\ x = -8 \]
\[ 8x + 3 = -61 \]
\[ 8x + 3 - 3 = -61 - 3 \ \Rightarrow\ 8x = -64 \]
\[ \frac{8x}{8} = \frac{-64}{8} \ \Rightarrow\ x = -8 \]
\[ 8\cdot(-8) + 3 = -64 + 3 = -61 \checkmark \]

Trying values of x in 8x + 3 = −61

x	8x + 3	Equals -61?
-10	-77	no
-9	-69	no
-8	-61	yes
-7	-53	no
-6	-45	no

Questions

What is x in 8x + 3 = −61?

The solution of 8x + 3 = −61 is x = -8.

How do you solve 8x + 3 = −61?

Subtract 3 from both sides to get 8x = -64, then divide both sides by 8 to get x = -8.

How do I check the answer?

Replace x by -8: 8(-8) + 3 = -61, which is -61.

Solve 8x + 3 = −61

How to work it out

Trying values of x in 8x + 3 = −61

Questions

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