Solve 10x − 7 = 3

The solution of 10x − 7 = 3 is x = 1.

10x - 7 = 3\ \Rightarrow\ x = 1

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The lines y = 10x − 7 and y = 3 meet at x = 1. 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.
$10x - 7 = 3$
2
Add 7 to both sides:
$10x - 7 + 7 = 3 + 7 \ \Rightarrow\ 10x = 10$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{10}{10} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$10\cdot1 - 7 = 10 - 7 = 3 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 7 = 3\ \Rightarrow\ x = 1 \]
\[ 10x - 7 = 3 \]
\[ 10x - 7 + 7 = 3 + 7 \ \Rightarrow\ 10x = 10 \]
\[ \frac{10x}{10} = \frac{10}{10} \ \Rightarrow\ x = 1 \]
\[ 10\cdot1 - 7 = 10 - 7 = 3 \checkmark \]

Trying values of x in 10x − 7 = 3

x	10x − 7	Equals 3?
-1	-17	no
0	-7	no
1	3	yes
2	13	no
3	23	no

Questions

What is x in 10x − 7 = 3?

The solution of 10x − 7 = 3 is x = 1.

How do you solve 10x − 7 = 3?

Add 7 to both sides to get 10x = 10, then divide both sides by 10 to get x = 1.

How do I check the answer?

Replace x by 1: 10(1) − 7 = 3, which is 3.

Solve 10x − 7 = 3

How to work it out

Trying values of x in 10x − 7 = 3

Questions

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