Solve 7x + 2 = 58

The solution of 7x + 2 = 58 is x = 8.

7x + 2 = 58\ \Rightarrow\ x = 8

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The lines y = 7x + 2 and y = 58 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.
$7x + 2 = 58$
2
Subtract 2 from both sides:
$7x + 2 - 2 = 58 - 2 \ \Rightarrow\ 7x = 56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$7\cdot8 + 2 = 56 + 2 = 58 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 2 = 58\ \Rightarrow\ x = 8 \]
\[ 7x + 2 = 58 \]
\[ 7x + 2 - 2 = 58 - 2 \ \Rightarrow\ 7x = 56 \]
\[ \frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8 \]
\[ 7\cdot8 + 2 = 56 + 2 = 58 \checkmark \]

Trying values of x in 7x + 2 = 58

x	7x + 2	Equals 58?
6	44	no
7	51	no
8	58	yes
9	65	no
10	72	no

Questions

What is x in 7x + 2 = 58?

The solution of 7x + 2 = 58 is x = 8.

How do you solve 7x + 2 = 58?

Subtract 2 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) + 2 = 58, which is 58.

Solve 7x + 2 = 58

How to work it out

Trying values of x in 7x + 2 = 58

Questions

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