Solve 10x + 2 = −58

The solution of 10x + 2 = −58 is x = -6.

10x + 2 = -58\ \Rightarrow\ x = -6

Explain it step by step in chat Make a short video of it

The lines y = 10x + 2 and y = -58 meet at x = -6. 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.
$10x + 2 = -58$
2
Subtract 2 from both sides:
$10x + 2 - 2 = -58 - 2 \ \Rightarrow\ 10x = -60$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-60}{10} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$10\cdot(-6) + 2 = -60 + 2 = -58 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 2 = -58\ \Rightarrow\ x = -6 \]
\[ 10x + 2 = -58 \]
\[ 10x + 2 - 2 = -58 - 2 \ \Rightarrow\ 10x = -60 \]
\[ \frac{10x}{10} = \frac{-60}{10} \ \Rightarrow\ x = -6 \]
\[ 10\cdot(-6) + 2 = -60 + 2 = -58 \checkmark \]

Trying values of x in 10x + 2 = −58

x	10x + 2	Equals -58?
-8	-78	no
-7	-68	no
-6	-58	yes
-5	-48	no
-4	-38	no

Questions

What is x in 10x + 2 = −58?

The solution of 10x + 2 = −58 is x = -6.

How do you solve 10x + 2 = −58?

Subtract 2 from both sides to get 10x = -60, then divide both sides by 10 to get x = -6.

How do I check the answer?

Replace x by -6: 10(-6) + 2 = -58, which is -58.

Solve 10x + 2 = −58

How to work it out

Trying values of x in 10x + 2 = −58

Questions

Similar equations