Solve 8x − 14 = −38

The solution of 8x − 14 = −38 is x = -3.

8x - 14 = -38\ \Rightarrow\ x = -3

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The lines y = 8x − 14 and y = -38 meet at x = -3. 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 subtraction, then the multiplication.
$8x - 14 = -38$
2
Add 14 to both sides:
$8x - 14 + 14 = -38 + 14 \ \Rightarrow\ 8x = -24$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-24}{8} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$8\cdot(-3) - 14 = -24 - 14 = -38 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 14 = -38\ \Rightarrow\ x = -3 \]
\[ 8x - 14 = -38 \]
\[ 8x - 14 + 14 = -38 + 14 \ \Rightarrow\ 8x = -24 \]
\[ \frac{8x}{8} = \frac{-24}{8} \ \Rightarrow\ x = -3 \]
\[ 8\cdot(-3) - 14 = -24 - 14 = -38 \checkmark \]

Trying values of x in 8x − 14 = −38

x	8x − 14	Equals -38?
-5	-54	no
-4	-46	no
-3	-38	yes
-2	-30	no
-1	-22	no

Questions

What is x in 8x − 14 = −38?

The solution of 8x − 14 = −38 is x = -3.

How do you solve 8x − 14 = −38?

Add 14 to both sides to get 8x = -24, then divide both sides by 8 to get x = -3.

How do I check the answer?

Replace x by -3: 8(-3) − 14 = -38, which is -38.

Solve 8x − 14 = −38

How to work it out

Trying values of x in 8x − 14 = −38

Questions

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