Solve 2x + 1 = 35

The solution of 2x + 1 = 35 is x = 17.

2x + 1 = 35\ \Rightarrow\ x = 17

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The lines y = 2x + 1 and y = 35 meet at x = 17. 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.
$2x + 1 = 35$
2
Subtract 1 from both sides:
$2x + 1 - 1 = 35 - 1 \ \Rightarrow\ 2x = 34$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{34}{2} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$2\cdot17 + 1 = 34 + 1 = 35 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 1 = 35\ \Rightarrow\ x = 17 \]
\[ 2x + 1 = 35 \]
\[ 2x + 1 - 1 = 35 - 1 \ \Rightarrow\ 2x = 34 \]
\[ \frac{2x}{2} = \frac{34}{2} \ \Rightarrow\ x = 17 \]
\[ 2\cdot17 + 1 = 34 + 1 = 35 \checkmark \]

Trying values of x in 2x + 1 = 35

x	2x + 1	Equals 35?
15	31	no
16	33	no
17	35	yes
18	37	no
19	39	no

Questions

What is x in 2x + 1 = 35?

The solution of 2x + 1 = 35 is x = 17.

How do you solve 2x + 1 = 35?

Subtract 1 from both sides to get 2x = 34, then divide both sides by 2 to get x = 17.

How do I check the answer?

Replace x by 17: 2(17) + 1 = 35, which is 35.

Solve 2x + 1 = 35

How to work it out

Trying values of x in 2x + 1 = 35

Questions

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