Solve 7x + 8 = 127

The solution of 7x + 8 = 127 is x = 17.

7x + 8 = 127\ \Rightarrow\ x = 17

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The lines y = 7x + 8 and y = 127 meet at x = 17. 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.
$7x + 8 = 127$
2
Subtract 8 from both sides:
$7x + 8 - 8 = 127 - 8 \ \Rightarrow\ 7x = 119$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$7\cdot17 + 8 = 119 + 8 = 127 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 8 = 127\ \Rightarrow\ x = 17 \]
\[ 7x + 8 = 127 \]
\[ 7x + 8 - 8 = 127 - 8 \ \Rightarrow\ 7x = 119 \]
\[ \frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17 \]
\[ 7\cdot17 + 8 = 119 + 8 = 127 \checkmark \]

Trying values of x in 7x + 8 = 127

x	7x + 8	Equals 127?
15	113	no
16	120	no
17	127	yes
18	134	no
19	141	no

Questions

What is x in 7x + 8 = 127?

The solution of 7x + 8 = 127 is x = 17.

How do you solve 7x + 8 = 127?

Subtract 8 from both sides to get 7x = 119, then divide both sides by 7 to get x = 17.

How do I check the answer?

Replace x by 17: 7(17) + 8 = 127, which is 127.

Solve 7x + 8 = 127

How to work it out

Trying values of x in 7x + 8 = 127

Questions

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