Solve 8x + 3 = −5

The solution of 8x + 3 = −5 is x = -1.

8x + 3 = -5\ \Rightarrow\ x = -1

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The lines y = 8x + 3 and y = -5 meet at x = -1. 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.
$8x + 3 = -5$
2
Subtract 3 from both sides:
$8x + 3 - 3 = -5 - 3 \ \Rightarrow\ 8x = -8$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-8}{8} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$8\cdot(-1) + 3 = -8 + 3 = -5 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 3 = -5\ \Rightarrow\ x = -1 \]
\[ 8x + 3 = -5 \]
\[ 8x + 3 - 3 = -5 - 3 \ \Rightarrow\ 8x = -8 \]
\[ \frac{8x}{8} = \frac{-8}{8} \ \Rightarrow\ x = -1 \]
\[ 8\cdot(-1) + 3 = -8 + 3 = -5 \checkmark \]

Trying values of x in 8x + 3 = −5

x	8x + 3	Equals -5?
-3	-21	no
-2	-13	no
-1	-5	yes
0	3	no
1	11	no

Questions

What is x in 8x + 3 = −5?

The solution of 8x + 3 = −5 is x = -1.

How do you solve 8x + 3 = −5?

Subtract 3 from both sides to get 8x = -8, then divide both sides by 8 to get x = -1.

How do I check the answer?

Replace x by -1: 8(-1) + 3 = -5, which is -5.

Solve 8x + 3 = −5

How to work it out

Trying values of x in 8x + 3 = −5

Questions

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