Solve 8x − 7 = 105

The solution of 8x − 7 = 105 is x = 14.

8x - 7 = 105\ \Rightarrow\ x = 14

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The lines y = 8x − 7 and y = 105 meet at x = 14. 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.
$8x - 7 = 105$
2
Add 7 to both sides:
$8x - 7 + 7 = 105 + 7 \ \Rightarrow\ 8x = 112$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$8\cdot14 - 7 = 112 - 7 = 105 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 7 = 105\ \Rightarrow\ x = 14 \]
\[ 8x - 7 = 105 \]
\[ 8x - 7 + 7 = 105 + 7 \ \Rightarrow\ 8x = 112 \]
\[ \frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14 \]
\[ 8\cdot14 - 7 = 112 - 7 = 105 \checkmark \]

Trying values of x in 8x − 7 = 105

x	8x − 7	Equals 105?
12	89	no
13	97	no
14	105	yes
15	113	no
16	121	no

Questions

What is x in 8x − 7 = 105?

The solution of 8x − 7 = 105 is x = 14.

How do you solve 8x − 7 = 105?

Add 7 to both sides to get 8x = 112, then divide both sides by 8 to get x = 14.

How do I check the answer?

Replace x by 14: 8(14) − 7 = 105, which is 105.

Solve 8x − 7 = 105

How to work it out

Trying values of x in 8x − 7 = 105

Questions

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