Solve 10x − 7 = 43

The solution of 10x − 7 = 43 is x = 5.

10x - 7 = 43\ \Rightarrow\ x = 5

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The lines y = 10x − 7 and y = 43 meet at x = 5. 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.
$10x - 7 = 43$
2
Add 7 to both sides:
$10x - 7 + 7 = 43 + 7 \ \Rightarrow\ 10x = 50$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$10\cdot5 - 7 = 50 - 7 = 43 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 7 = 43\ \Rightarrow\ x = 5 \]
\[ 10x - 7 = 43 \]
\[ 10x - 7 + 7 = 43 + 7 \ \Rightarrow\ 10x = 50 \]
\[ \frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5 \]
\[ 10\cdot5 - 7 = 50 - 7 = 43 \checkmark \]

Trying values of x in 10x − 7 = 43

x	10x − 7	Equals 43?
3	23	no
4	33	no
5	43	yes
6	53	no
7	63	no

Questions

What is x in 10x − 7 = 43?

The solution of 10x − 7 = 43 is x = 5.

How do you solve 10x − 7 = 43?

Add 7 to both sides to get 10x = 50, then divide both sides by 10 to get x = 5.

How do I check the answer?

Replace x by 5: 10(5) − 7 = 43, which is 43.

Solve 10x − 7 = 43

How to work it out

Trying values of x in 10x − 7 = 43

Questions

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