Solve 8x − 3 = 157

The solution of 8x − 3 = 157 is x = 20.

8x - 3 = 157\ \Rightarrow\ x = 20

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The lines y = 8x − 3 and y = 157 meet at x = 20. 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.
$8x - 3 = 157$
2
Add 3 to both sides:
$8x - 3 + 3 = 157 + 3 \ \Rightarrow\ 8x = 160$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{160}{8} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$8\cdot20 - 3 = 160 - 3 = 157 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 3 = 157\ \Rightarrow\ x = 20 \]
\[ 8x - 3 = 157 \]
\[ 8x - 3 + 3 = 157 + 3 \ \Rightarrow\ 8x = 160 \]
\[ \frac{8x}{8} = \frac{160}{8} \ \Rightarrow\ x = 20 \]
\[ 8\cdot20 - 3 = 160 - 3 = 157 \checkmark \]

Trying values of x in 8x − 3 = 157

x	8x − 3	Equals 157?
18	141	no
19	149	no
20	157	yes
21	165	no
22	173	no

Questions

What is x in 8x − 3 = 157?

The solution of 8x − 3 = 157 is x = 20.

How do you solve 8x − 3 = 157?

Add 3 to both sides to get 8x = 160, then divide both sides by 8 to get x = 20.

How do I check the answer?

Replace x by 20: 8(20) − 3 = 157, which is 157.

Solve 8x − 3 = 157

How to work it out

Trying values of x in 8x − 3 = 157

Questions

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