Solve 10x − 5 = 105

The solution of 10x − 5 = 105 is x = 11.

10x - 5 = 105\ \Rightarrow\ x = 11

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The lines y = 10x − 5 and y = 105 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.
$10x - 5 = 105$
2
Add 5 to both sides:
$10x - 5 + 5 = 105 + 5 \ \Rightarrow\ 10x = 110$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$10\cdot11 - 5 = 110 - 5 = 105 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 5 = 105\ \Rightarrow\ x = 11 \]
\[ 10x - 5 = 105 \]
\[ 10x - 5 + 5 = 105 + 5 \ \Rightarrow\ 10x = 110 \]
\[ \frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11 \]
\[ 10\cdot11 - 5 = 110 - 5 = 105 \checkmark \]

Trying values of x in 10x − 5 = 105

x	10x − 5	Equals 105?
9	85	no
10	95	no
11	105	yes
12	115	no
13	125	no

Questions

What is x in 10x − 5 = 105?

The solution of 10x − 5 = 105 is x = 11.

How do you solve 10x − 5 = 105?

Add 5 to both sides to get 10x = 110, then divide both sides by 10 to get x = 11.

How do I check the answer?

Replace x by 11: 10(11) − 5 = 105, which is 105.

Solve 10x − 5 = 105

How to work it out

Trying values of x in 10x − 5 = 105

Questions

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