Solve 8x + 14 = −34

The solution of 8x + 14 = −34 is x = -6.

8x + 14 = -34\ \Rightarrow\ x = -6

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The lines y = 8x + 14 and y = -34 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.
$8x + 14 = -34$
2
Subtract 14 from both sides:
$8x + 14 - 14 = -34 - 14 \ \Rightarrow\ 8x = -48$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$8\cdot(-6) + 14 = -48 + 14 = -34 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 14 = -34\ \Rightarrow\ x = -6 \]
\[ 8x + 14 = -34 \]
\[ 8x + 14 - 14 = -34 - 14 \ \Rightarrow\ 8x = -48 \]
\[ \frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6 \]
\[ 8\cdot(-6) + 14 = -48 + 14 = -34 \checkmark \]

Trying values of x in 8x + 14 = −34

x	8x + 14	Equals -34?
-8	-50	no
-7	-42	no
-6	-34	yes
-5	-26	no
-4	-18	no

Questions

What is x in 8x + 14 = −34?

The solution of 8x + 14 = −34 is x = -6.

How do you solve 8x + 14 = −34?

Subtract 14 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) + 14 = -34, which is -34.

Solve 8x + 14 = −34

How to work it out

Trying values of x in 8x + 14 = −34

Questions

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