Solve 2x + 6 = 24

The solution of 2x + 6 = 24 is x = 9.

2x + 6 = 24\ \Rightarrow\ x = 9

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The lines y = 2x + 6 and y = 24 meet at x = 9. 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.
$2x + 6 = 24$
2
Subtract 6 from both sides:
$2x + 6 - 6 = 24 - 6 \ \Rightarrow\ 2x = 18$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$2\cdot9 + 6 = 18 + 6 = 24 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 6 = 24\ \Rightarrow\ x = 9 \]
\[ 2x + 6 = 24 \]
\[ 2x + 6 - 6 = 24 - 6 \ \Rightarrow\ 2x = 18 \]
\[ \frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9 \]
\[ 2\cdot9 + 6 = 18 + 6 = 24 \checkmark \]

Trying values of x in 2x + 6 = 24

x	2x + 6	Equals 24?
7	20	no
8	22	no
9	24	yes
10	26	no
11	28	no

Questions

What is x in 2x + 6 = 24?

The solution of 2x + 6 = 24 is x = 9.

How do you solve 2x + 6 = 24?

Subtract 6 from both sides to get 2x = 18, then divide both sides by 2 to get x = 9.

How do I check the answer?

Replace x by 9: 2(9) + 6 = 24, which is 24.

Solve 2x + 6 = 24

How to work it out

Trying values of x in 2x + 6 = 24

Questions

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