Solve 8x − 14 = 74

The solution of 8x − 14 = 74 is x = 11.

8x - 14 = 74\ \Rightarrow\ x = 11

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The lines y = 8x − 14 and y = 74 meet at x = 11. 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.
$8x - 14 = 74$
2
Add 14 to both sides:
$8x - 14 + 14 = 74 + 14 \ \Rightarrow\ 8x = 88$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{88}{8} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$8\cdot11 - 14 = 88 - 14 = 74 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 14 = 74\ \Rightarrow\ x = 11 \]
\[ 8x - 14 = 74 \]
\[ 8x - 14 + 14 = 74 + 14 \ \Rightarrow\ 8x = 88 \]
\[ \frac{8x}{8} = \frac{88}{8} \ \Rightarrow\ x = 11 \]
\[ 8\cdot11 - 14 = 88 - 14 = 74 \checkmark \]

Trying values of x in 8x − 14 = 74

x	8x − 14	Equals 74?
9	58	no
10	66	no
11	74	yes
12	82	no
13	90	no

Questions

What is x in 8x − 14 = 74?

The solution of 8x − 14 = 74 is x = 11.

How do you solve 8x − 14 = 74?

Add 14 to both sides to get 8x = 88, then divide both sides by 8 to get x = 11.

How do I check the answer?

Replace x by 11: 8(11) − 14 = 74, which is 74.

Solve 8x − 14 = 74

How to work it out

Trying values of x in 8x − 14 = 74

Questions

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