Solve 7x + 6 = 104

The solution of 7x + 6 = 104 is x = 14.

7x + 6 = 104\ \Rightarrow\ x = 14

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The lines y = 7x + 6 and y = 104 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 addition, then the multiplication.
$7x + 6 = 104$
2
Subtract 6 from both sides:
$7x + 6 - 6 = 104 - 6 \ \Rightarrow\ 7x = 98$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$7\cdot14 + 6 = 98 + 6 = 104 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 6 = 104\ \Rightarrow\ x = 14 \]
\[ 7x + 6 = 104 \]
\[ 7x + 6 - 6 = 104 - 6 \ \Rightarrow\ 7x = 98 \]
\[ \frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14 \]
\[ 7\cdot14 + 6 = 98 + 6 = 104 \checkmark \]

Trying values of x in 7x + 6 = 104

x	7x + 6	Equals 104?
12	90	no
13	97	no
14	104	yes
15	111	no
16	118	no

Questions

What is x in 7x + 6 = 104?

The solution of 7x + 6 = 104 is x = 14.

How do you solve 7x + 6 = 104?

Subtract 6 from both sides to get 7x = 98, then divide both sides by 7 to get x = 14.

How do I check the answer?

Replace x by 14: 7(14) + 6 = 104, which is 104.

Solve 7x + 6 = 104

How to work it out

Trying values of x in 7x + 6 = 104

Questions

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