Solve 8x + 10 = −38

The solution of 8x + 10 = −38 is x = -6.

8x + 10 = -38\ \Rightarrow\ x = -6

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The lines y = 8x + 10 and y = -38 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.
$8x + 10 = -38$
2
Subtract 10 from both sides:
$8x + 10 - 10 = -38 - 10 \ \Rightarrow\ 8x = -48$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$8\cdot(-6) + 10 = -48 + 10 = -38 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 10 = -38\ \Rightarrow\ x = -6 \]
\[ 8x + 10 = -38 \]
\[ 8x + 10 - 10 = -38 - 10 \ \Rightarrow\ 8x = -48 \]
\[ \frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6 \]
\[ 8\cdot(-6) + 10 = -48 + 10 = -38 \checkmark \]

Trying values of x in 8x + 10 = −38

x	8x + 10	Equals -38?
-8	-54	no
-7	-46	no
-6	-38	yes
-5	-30	no
-4	-22	no

Questions

What is x in 8x + 10 = −38?

The solution of 8x + 10 = −38 is x = -6.

How do you solve 8x + 10 = −38?

Subtract 10 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) + 10 = -38, which is -38.

Solve 8x + 10 = −38

How to work it out

Trying values of x in 8x + 10 = −38

Questions

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