Solve 2x + 13 = 29

The solution of 2x + 13 = 29 is x = 8.

2x + 13 = 29\ \Rightarrow\ x = 8

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The lines y = 2x + 13 and y = 29 meet at x = 8. 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.
$2x + 13 = 29$
2
Subtract 13 from both sides:
$2x + 13 - 13 = 29 - 13 \ \Rightarrow\ 2x = 16$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{16}{2} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$2\cdot8 + 13 = 16 + 13 = 29 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 13 = 29\ \Rightarrow\ x = 8 \]
\[ 2x + 13 = 29 \]
\[ 2x + 13 - 13 = 29 - 13 \ \Rightarrow\ 2x = 16 \]
\[ \frac{2x}{2} = \frac{16}{2} \ \Rightarrow\ x = 8 \]
\[ 2\cdot8 + 13 = 16 + 13 = 29 \checkmark \]

Trying values of x in 2x + 13 = 29

x	2x + 13	Equals 29?
6	25	no
7	27	no
8	29	yes
9	31	no
10	33	no

Questions

What is x in 2x + 13 = 29?

The solution of 2x + 13 = 29 is x = 8.

How do you solve 2x + 13 = 29?

Subtract 13 from both sides to get 2x = 16, then divide both sides by 2 to get x = 8.

How do I check the answer?

Replace x by 8: 2(8) + 13 = 29, which is 29.

Solve 2x + 13 = 29

How to work it out

Trying values of x in 2x + 13 = 29

Questions

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