Solve 10x − 13 = 7

The solution of 10x − 13 = 7 is x = 2.

10x - 13 = 7\ \Rightarrow\ x = 2

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The lines y = 10x − 13 and y = 7 meet at x = 2. 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.
$10x - 13 = 7$
2
Add 13 to both sides:
$10x - 13 + 13 = 7 + 13 \ \Rightarrow\ 10x = 20$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{20}{10} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$10\cdot2 - 13 = 20 - 13 = 7 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = 7\ \Rightarrow\ x = 2 \]
\[ 10x - 13 = 7 \]
\[ 10x - 13 + 13 = 7 + 13 \ \Rightarrow\ 10x = 20 \]
\[ \frac{10x}{10} = \frac{20}{10} \ \Rightarrow\ x = 2 \]
\[ 10\cdot2 - 13 = 20 - 13 = 7 \checkmark \]

Trying values of x in 10x − 13 = 7

x	10x − 13	Equals 7?
0	-13	no
1	-3	no
2	7	yes
3	17	no
4	27	no

Questions

What is x in 10x − 13 = 7?

The solution of 10x − 13 = 7 is x = 2.

How do you solve 10x − 13 = 7?

Add 13 to both sides to get 10x = 20, then divide both sides by 10 to get x = 2.

How do I check the answer?

Replace x by 2: 10(2) − 13 = 7, which is 7.

Solve 10x − 13 = 7

How to work it out

Trying values of x in 10x − 13 = 7

Questions

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