Solve 10x − 5 = 155

The solution of 10x − 5 = 155 is x = 16.

10x - 5 = 155\ \Rightarrow\ x = 16

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The lines y = 10x − 5 and y = 155 meet at x = 16. 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.
$10x - 5 = 155$
2
Add 5 to both sides:
$10x - 5 + 5 = 155 + 5 \ \Rightarrow\ 10x = 160$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$10\cdot16 - 5 = 160 - 5 = 155 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 5 = 155\ \Rightarrow\ x = 16 \]
\[ 10x - 5 = 155 \]
\[ 10x - 5 + 5 = 155 + 5 \ \Rightarrow\ 10x = 160 \]
\[ \frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16 \]
\[ 10\cdot16 - 5 = 160 - 5 = 155 \checkmark \]

Trying values of x in 10x − 5 = 155

x	10x − 5	Equals 155?
14	135	no
15	145	no
16	155	yes
17	165	no
18	175	no

Questions

What is x in 10x − 5 = 155?

The solution of 10x − 5 = 155 is x = 16.

How do you solve 10x − 5 = 155?

Add 5 to both sides to get 10x = 160, then divide both sides by 10 to get x = 16.

How do I check the answer?

Replace x by 16: 10(16) − 5 = 155, which is 155.

Solve 10x − 5 = 155

How to work it out

Trying values of x in 10x − 5 = 155

Questions

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