Solve 10x − 13 = 57

The solution of 10x − 13 = 57 is x = 7.

10x - 13 = 57\ \Rightarrow\ x = 7

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The lines y = 10x − 13 and y = 57 meet at x = 7. 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.
$10x - 13 = 57$
2
Add 13 to both sides:
$10x - 13 + 13 = 57 + 13 \ \Rightarrow\ 10x = 70$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{70}{10} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$10\cdot7 - 13 = 70 - 13 = 57 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = 57\ \Rightarrow\ x = 7 \]
\[ 10x - 13 = 57 \]
\[ 10x - 13 + 13 = 57 + 13 \ \Rightarrow\ 10x = 70 \]
\[ \frac{10x}{10} = \frac{70}{10} \ \Rightarrow\ x = 7 \]
\[ 10\cdot7 - 13 = 70 - 13 = 57 \checkmark \]

Trying values of x in 10x − 13 = 57

x	10x − 13	Equals 57?
5	37	no
6	47	no
7	57	yes
8	67	no
9	77	no

Questions

What is x in 10x − 13 = 57?

The solution of 10x − 13 = 57 is x = 7.

How do you solve 10x − 13 = 57?

Add 13 to both sides to get 10x = 70, then divide both sides by 10 to get x = 7.

How do I check the answer?

Replace x by 7: 10(7) − 13 = 57, which is 57.

Solve 10x − 13 = 57

How to work it out

Trying values of x in 10x − 13 = 57

Questions

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