Solve 2x + 12 = 34

The solution of 2x + 12 = 34 is x = 11.

2x + 12 = 34\ \Rightarrow\ x = 11

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The lines y = 2x + 12 and y = 34 meet at x = 11. 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.
$2x + 12 = 34$
2
Subtract 12 from both sides:
$2x + 12 - 12 = 34 - 12 \ \Rightarrow\ 2x = 22$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{22}{2} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$2\cdot11 + 12 = 22 + 12 = 34 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 12 = 34\ \Rightarrow\ x = 11 \]
\[ 2x + 12 = 34 \]
\[ 2x + 12 - 12 = 34 - 12 \ \Rightarrow\ 2x = 22 \]
\[ \frac{2x}{2} = \frac{22}{2} \ \Rightarrow\ x = 11 \]
\[ 2\cdot11 + 12 = 22 + 12 = 34 \checkmark \]

Trying values of x in 2x + 12 = 34

x	2x + 12	Equals 34?
9	30	no
10	32	no
11	34	yes
12	36	no
13	38	no

Questions

What is x in 2x + 12 = 34?

The solution of 2x + 12 = 34 is x = 11.

How do you solve 2x + 12 = 34?

Subtract 12 from both sides to get 2x = 22, then divide both sides by 2 to get x = 11.

How do I check the answer?

Replace x by 11: 2(11) + 12 = 34, which is 34.

Solve 2x + 12 = 34

How to work it out

Trying values of x in 2x + 12 = 34

Questions

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