Solve 8x + 13 = −3

The solution of 8x + 13 = −3 is x = -2.

8x + 13 = -3\ \Rightarrow\ x = -2

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The lines y = 8x + 13 and y = -3 meet at x = -2. 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.
$8x + 13 = -3$
2
Subtract 13 from both sides:
$8x + 13 - 13 = -3 - 13 \ \Rightarrow\ 8x = -16$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-16}{8} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$8\cdot(-2) + 13 = -16 + 13 = -3 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 13 = -3\ \Rightarrow\ x = -2 \]
\[ 8x + 13 = -3 \]
\[ 8x + 13 - 13 = -3 - 13 \ \Rightarrow\ 8x = -16 \]
\[ \frac{8x}{8} = \frac{-16}{8} \ \Rightarrow\ x = -2 \]
\[ 8\cdot(-2) + 13 = -16 + 13 = -3 \checkmark \]

Trying values of x in 8x + 13 = −3

x	8x + 13	Equals -3?
-4	-19	no
-3	-11	no
-2	-3	yes
-1	5	no
0	13	no

Questions

What is x in 8x + 13 = −3?

The solution of 8x + 13 = −3 is x = -2.

How do you solve 8x + 13 = −3?

Subtract 13 from both sides to get 8x = -16, then divide both sides by 8 to get x = -2.

How do I check the answer?

Replace x by -2: 8(-2) + 13 = -3, which is -3.

Solve 8x + 13 = −3

How to work it out

Trying values of x in 8x + 13 = −3

Questions

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