Solve 7x − 6 = 29

The solution of 7x − 6 = 29 is x = 5.

7x - 6 = 29\ \Rightarrow\ x = 5

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The lines y = 7x − 6 and y = 29 meet at x = 5. 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.
$7x - 6 = 29$
2
Add 6 to both sides:
$7x - 6 + 6 = 29 + 6 \ \Rightarrow\ 7x = 35$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$7\cdot5 - 6 = 35 - 6 = 29 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 6 = 29\ \Rightarrow\ x = 5 \]
\[ 7x - 6 = 29 \]
\[ 7x - 6 + 6 = 29 + 6 \ \Rightarrow\ 7x = 35 \]
\[ \frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5 \]
\[ 7\cdot5 - 6 = 35 - 6 = 29 \checkmark \]

Trying values of x in 7x − 6 = 29

x	7x − 6	Equals 29?
3	15	no
4	22	no
5	29	yes
6	36	no
7	43	no

Questions

What is x in 7x − 6 = 29?

The solution of 7x − 6 = 29 is x = 5.

How do you solve 7x − 6 = 29?

Add 6 to both sides to get 7x = 35, then divide both sides by 7 to get x = 5.

How do I check the answer?

Replace x by 5: 7(5) − 6 = 29, which is 29.

Solve 7x − 6 = 29

How to work it out

Trying values of x in 7x − 6 = 29

Questions

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