Solve 8x − 7 = 145

The solution of 8x − 7 = 145 is x = 19.

8x - 7 = 145\ \Rightarrow\ x = 19

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The lines y = 8x − 7 and y = 145 meet at x = 19. 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.
$8x - 7 = 145$
2
Add 7 to both sides:
$8x - 7 + 7 = 145 + 7 \ \Rightarrow\ 8x = 152$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{152}{8} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$8\cdot19 - 7 = 152 - 7 = 145 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 7 = 145\ \Rightarrow\ x = 19 \]
\[ 8x - 7 = 145 \]
\[ 8x - 7 + 7 = 145 + 7 \ \Rightarrow\ 8x = 152 \]
\[ \frac{8x}{8} = \frac{152}{8} \ \Rightarrow\ x = 19 \]
\[ 8\cdot19 - 7 = 152 - 7 = 145 \checkmark \]

Trying values of x in 8x − 7 = 145

x	8x − 7	Equals 145?
17	129	no
18	137	no
19	145	yes
20	153	no
21	161	no

Questions

What is x in 8x − 7 = 145?

The solution of 8x − 7 = 145 is x = 19.

How do you solve 8x − 7 = 145?

Add 7 to both sides to get 8x = 152, then divide both sides by 8 to get x = 19.

How do I check the answer?

Replace x by 19: 8(19) − 7 = 145, which is 145.

Solve 8x − 7 = 145

How to work it out

Trying values of x in 8x − 7 = 145

Questions

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