Solve 10x + 3 = 43

The solution of 10x + 3 = 43 is x = 4.

10x + 3 = 43\ \Rightarrow\ x = 4

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The lines y = 10x + 3 and y = 43 meet at x = 4. 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 addition, then the multiplication.
$10x + 3 = 43$
2
Subtract 3 from both sides:
$10x + 3 - 3 = 43 - 3 \ \Rightarrow\ 10x = 40$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$10\cdot4 + 3 = 40 + 3 = 43 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 3 = 43\ \Rightarrow\ x = 4 \]
\[ 10x + 3 = 43 \]
\[ 10x + 3 - 3 = 43 - 3 \ \Rightarrow\ 10x = 40 \]
\[ \frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4 \]
\[ 10\cdot4 + 3 = 40 + 3 = 43 \checkmark \]

Trying values of x in 10x + 3 = 43

x	10x + 3	Equals 43?
2	23	no
3	33	no
4	43	yes
5	53	no
6	63	no

Questions

What is x in 10x + 3 = 43?

The solution of 10x + 3 = 43 is x = 4.

How do you solve 10x + 3 = 43?

Subtract 3 from both sides to get 10x = 40, then divide both sides by 10 to get x = 4.

How do I check the answer?

Replace x by 4: 10(4) + 3 = 43, which is 43.

Solve 10x + 3 = 43

How to work it out

Trying values of x in 10x + 3 = 43

Questions

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