Solve 7x + 6 = 62

The solution of 7x + 6 = 62 is x = 8.

7x + 6 = 62\ \Rightarrow\ x = 8

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The lines y = 7x + 6 and y = 62 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.
$7x + 6 = 62$
2
Subtract 6 from both sides:
$7x + 6 - 6 = 62 - 6 \ \Rightarrow\ 7x = 56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$7\cdot8 + 6 = 56 + 6 = 62 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 6 = 62\ \Rightarrow\ x = 8 \]
\[ 7x + 6 = 62 \]
\[ 7x + 6 - 6 = 62 - 6 \ \Rightarrow\ 7x = 56 \]
\[ \frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8 \]
\[ 7\cdot8 + 6 = 56 + 6 = 62 \checkmark \]

Trying values of x in 7x + 6 = 62

x	7x + 6	Equals 62?
6	48	no
7	55	no
8	62	yes
9	69	no
10	76	no

Questions

What is x in 7x + 6 = 62?

The solution of 7x + 6 = 62 is x = 8.

How do you solve 7x + 6 = 62?

Subtract 6 from both sides to get 7x = 56, then divide both sides by 7 to get x = 8.

How do I check the answer?

Replace x by 8: 7(8) + 6 = 62, which is 62.

Solve 7x + 6 = 62

How to work it out

Trying values of x in 7x + 6 = 62

Questions

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