Solve 5x − 7 = 83

The solution of 5x − 7 = 83 is x = 18.

5x - 7 = 83\ \Rightarrow\ x = 18

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The lines y = 5x − 7 and y = 83 meet at x = 18. 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.
$5x - 7 = 83$
2
Add 7 to both sides:
$5x - 7 + 7 = 83 + 7 \ \Rightarrow\ 5x = 90$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{90}{5} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$5\cdot18 - 7 = 90 - 7 = 83 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 7 = 83\ \Rightarrow\ x = 18 \]
\[ 5x - 7 = 83 \]
\[ 5x - 7 + 7 = 83 + 7 \ \Rightarrow\ 5x = 90 \]
\[ \frac{5x}{5} = \frac{90}{5} \ \Rightarrow\ x = 18 \]
\[ 5\cdot18 - 7 = 90 - 7 = 83 \checkmark \]

Trying values of x in 5x − 7 = 83

x	5x − 7	Equals 83?
16	73	no
17	78	no
18	83	yes
19	88	no
20	93	no

Questions

What is x in 5x − 7 = 83?

The solution of 5x − 7 = 83 is x = 18.

How do you solve 5x − 7 = 83?

Add 7 to both sides to get 5x = 90, then divide both sides by 5 to get x = 18.

How do I check the answer?

Replace x by 18: 5(18) − 7 = 83, which is 83.

Solve 5x − 7 = 83

How to work it out

Trying values of x in 5x − 7 = 83

Questions

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