Solve 2x + 7 = 43

The solution of 2x + 7 = 43 is x = 18.

2x + 7 = 43\ \Rightarrow\ x = 18

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The lines y = 2x + 7 and y = 43 meet at x = 18. 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.
$2x + 7 = 43$
2
Subtract 7 from both sides:
$2x + 7 - 7 = 43 - 7 \ \Rightarrow\ 2x = 36$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$2\cdot18 + 7 = 36 + 7 = 43 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 7 = 43\ \Rightarrow\ x = 18 \]
\[ 2x + 7 = 43 \]
\[ 2x + 7 - 7 = 43 - 7 \ \Rightarrow\ 2x = 36 \]
\[ \frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18 \]
\[ 2\cdot18 + 7 = 36 + 7 = 43 \checkmark \]

Trying values of x in 2x + 7 = 43

x	2x + 7	Equals 43?
16	39	no
17	41	no
18	43	yes
19	45	no
20	47	no

Questions

What is x in 2x + 7 = 43?

The solution of 2x + 7 = 43 is x = 18.

How do you solve 2x + 7 = 43?

Subtract 7 from both sides to get 2x = 36, then divide both sides by 2 to get x = 18.

How do I check the answer?

Replace x by 18: 2(18) + 7 = 43, which is 43.

Solve 2x + 7 = 43

How to work it out

Trying values of x in 2x + 7 = 43

Questions

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