Solve 10x − 7 = 63

The solution of 10x − 7 = 63 is x = 7.

10x - 7 = 63\ \Rightarrow\ x = 7

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The lines y = 10x − 7 and y = 63 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.
$10x - 7 = 63$
2
Add 7 to both sides:
$10x - 7 + 7 = 63 + 7 \ \Rightarrow\ 10x = 70$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{70}{10} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$10\cdot7 - 7 = 70 - 7 = 63 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 7 = 63\ \Rightarrow\ x = 7 \]
\[ 10x - 7 = 63 \]
\[ 10x - 7 + 7 = 63 + 7 \ \Rightarrow\ 10x = 70 \]
\[ \frac{10x}{10} = \frac{70}{10} \ \Rightarrow\ x = 7 \]
\[ 10\cdot7 - 7 = 70 - 7 = 63 \checkmark \]

Trying values of x in 10x − 7 = 63

x	10x − 7	Equals 63?
5	43	no
6	53	no
7	63	yes
8	73	no
9	83	no

Questions

What is x in 10x − 7 = 63?

The solution of 10x − 7 = 63 is x = 7.

How do you solve 10x − 7 = 63?

Add 7 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) − 7 = 63, which is 63.

Solve 10x − 7 = 63

How to work it out

Trying values of x in 10x − 7 = 63

Questions

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