Solve 8x + 5 = −43

The solution of 8x + 5 = −43 is x = -6.

8x + 5 = -43\ \Rightarrow\ x = -6

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The lines y = 8x + 5 and y = -43 meet at x = -6. 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.
$8x + 5 = -43$
2
Subtract 5 from both sides:
$8x + 5 - 5 = -43 - 5 \ \Rightarrow\ 8x = -48$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$8\cdot(-6) + 5 = -48 + 5 = -43 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 5 = -43\ \Rightarrow\ x = -6 \]
\[ 8x + 5 = -43 \]
\[ 8x + 5 - 5 = -43 - 5 \ \Rightarrow\ 8x = -48 \]
\[ \frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6 \]
\[ 8\cdot(-6) + 5 = -48 + 5 = -43 \checkmark \]

Trying values of x in 8x + 5 = −43

x	8x + 5	Equals -43?
-8	-59	no
-7	-51	no
-6	-43	yes
-5	-35	no
-4	-27	no

Questions

What is x in 8x + 5 = −43?

The solution of 8x + 5 = −43 is x = -6.

How do you solve 8x + 5 = −43?

Subtract 5 from both sides to get 8x = -48, then divide both sides by 8 to get x = -6.

How do I check the answer?

Replace x by -6: 8(-6) + 5 = -43, which is -43.

Solve 8x + 5 = −43

How to work it out

Trying values of x in 8x + 5 = −43

Questions

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