Solve 8x + 13 = −35

The solution of 8x + 13 = −35 is x = -6.

8x + 13 = -35\ \Rightarrow\ x = -6

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The lines y = 8x + 13 and y = -35 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.
$8x + 13 = -35$
2
Subtract 13 from both sides:
$8x + 13 - 13 = -35 - 13 \ \Rightarrow\ 8x = -48$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$8\cdot(-6) + 13 = -48 + 13 = -35 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 13 = -35\ \Rightarrow\ x = -6 \]
\[ 8x + 13 = -35 \]
\[ 8x + 13 - 13 = -35 - 13 \ \Rightarrow\ 8x = -48 \]
\[ \frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6 \]
\[ 8\cdot(-6) + 13 = -48 + 13 = -35 \checkmark \]

Trying values of x in 8x + 13 = −35

x	8x + 13	Equals -35?
-8	-51	no
-7	-43	no
-6	-35	yes
-5	-27	no
-4	-19	no

Questions

What is x in 8x + 13 = −35?

The solution of 8x + 13 = −35 is x = -6.

How do you solve 8x + 13 = −35?

Subtract 13 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) + 13 = -35, which is -35.

Solve 8x + 13 = −35

How to work it out

Trying values of x in 8x + 13 = −35

Questions

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