Solve 8x − 3 = −35

The solution of 8x − 3 = −35 is x = -4.

8x - 3 = -35\ \Rightarrow\ x = -4

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The lines y = 8x − 3 and y = -35 meet at x = -4. 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.
$8x - 3 = -35$
2
Add 3 to both sides:
$8x - 3 + 3 = -35 + 3 \ \Rightarrow\ 8x = -32$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-32}{8} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$8\cdot(-4) - 3 = -32 - 3 = -35 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 3 = -35\ \Rightarrow\ x = -4 \]
\[ 8x - 3 = -35 \]
\[ 8x - 3 + 3 = -35 + 3 \ \Rightarrow\ 8x = -32 \]
\[ \frac{8x}{8} = \frac{-32}{8} \ \Rightarrow\ x = -4 \]
\[ 8\cdot(-4) - 3 = -32 - 3 = -35 \checkmark \]

Trying values of x in 8x − 3 = −35

x	8x − 3	Equals -35?
-6	-51	no
-5	-43	no
-4	-35	yes
-3	-27	no
-2	-19	no

Questions

What is x in 8x − 3 = −35?

The solution of 8x − 3 = −35 is x = -4.

How do you solve 8x − 3 = −35?

Add 3 to both sides to get 8x = -32, then divide both sides by 8 to get x = -4.

How do I check the answer?

Replace x by -4: 8(-4) − 3 = -35, which is -35.

Solve 8x − 3 = −35

How to work it out

Trying values of x in 8x − 3 = −35

Questions

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