Solve 10x + 2 = −98

The solution of 10x + 2 = −98 is x = -10.

10x + 2 = -98\ \Rightarrow\ x = -10

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The lines y = 10x + 2 and y = -98 meet at x = -10. 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.
$10x + 2 = -98$
2
Subtract 2 from both sides:
$10x + 2 - 2 = -98 - 2 \ \Rightarrow\ 10x = -100$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-100}{10} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$10\cdot(-10) + 2 = -100 + 2 = -98 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 2 = -98\ \Rightarrow\ x = -10 \]
\[ 10x + 2 = -98 \]
\[ 10x + 2 - 2 = -98 - 2 \ \Rightarrow\ 10x = -100 \]
\[ \frac{10x}{10} = \frac{-100}{10} \ \Rightarrow\ x = -10 \]
\[ 10\cdot(-10) + 2 = -100 + 2 = -98 \checkmark \]

Trying values of x in 10x + 2 = −98

x	10x + 2	Equals -98?
-12	-118	no
-11	-108	no
-10	-98	yes
-9	-88	no
-8	-78	no

Questions

What is x in 10x + 2 = −98?

The solution of 10x + 2 = −98 is x = -10.

How do you solve 10x + 2 = −98?

Subtract 2 from both sides to get 10x = -100, then divide both sides by 10 to get x = -10.

How do I check the answer?

Replace x by -10: 10(-10) + 2 = -98, which is -98.

Solve 10x + 2 = −98

How to work it out

Trying values of x in 10x + 2 = −98

Questions

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