Solve 3x − 7 = 35

The solution of 3x − 7 = 35 is x = 14.

3x - 7 = 35\ \Rightarrow\ x = 14

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The lines y = 3x − 7 and y = 35 meet at x = 14. 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 subtraction, then the multiplication.
$3x - 7 = 35$
2
Add 7 to both sides:
$3x - 7 + 7 = 35 + 7 \ \Rightarrow\ 3x = 42$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{42}{3} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$3\cdot14 - 7 = 42 - 7 = 35 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 7 = 35\ \Rightarrow\ x = 14 \]
\[ 3x - 7 = 35 \]
\[ 3x - 7 + 7 = 35 + 7 \ \Rightarrow\ 3x = 42 \]
\[ \frac{3x}{3} = \frac{42}{3} \ \Rightarrow\ x = 14 \]
\[ 3\cdot14 - 7 = 42 - 7 = 35 \checkmark \]

Trying values of x in 3x − 7 = 35

x	3x − 7	Equals 35?
12	29	no
13	32	no
14	35	yes
15	38	no
16	41	no

Questions

What is x in 3x − 7 = 35?

The solution of 3x − 7 = 35 is x = 14.

How do you solve 3x − 7 = 35?

Add 7 to both sides to get 3x = 42, then divide both sides by 3 to get x = 14.

How do I check the answer?

Replace x by 14: 3(14) − 7 = 35, which is 35.

Solve 3x − 7 = 35

How to work it out

Trying values of x in 3x − 7 = 35

Questions

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