Solve 10x − 2 = −52

The solution of 10x − 2 = −52 is x = -5.

10x - 2 = -52\ \Rightarrow\ x = -5

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The lines y = 10x − 2 and y = -52 meet at x = -5. 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.
$10x - 2 = -52$
2
Add 2 to both sides:
$10x - 2 + 2 = -52 + 2 \ \Rightarrow\ 10x = -50$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-50}{10} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$10\cdot(-5) - 2 = -50 - 2 = -52 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 2 = -52\ \Rightarrow\ x = -5 \]
\[ 10x - 2 = -52 \]
\[ 10x - 2 + 2 = -52 + 2 \ \Rightarrow\ 10x = -50 \]
\[ \frac{10x}{10} = \frac{-50}{10} \ \Rightarrow\ x = -5 \]
\[ 10\cdot(-5) - 2 = -50 - 2 = -52 \checkmark \]

Trying values of x in 10x − 2 = −52

x	10x − 2	Equals -52?
-7	-72	no
-6	-62	no
-5	-52	yes
-4	-42	no
-3	-32	no

Questions

What is x in 10x − 2 = −52?

The solution of 10x − 2 = −52 is x = -5.

How do you solve 10x − 2 = −52?

Add 2 to both sides to get 10x = -50, then divide both sides by 10 to get x = -5.

How do I check the answer?

Replace x by -5: 10(-5) − 2 = -52, which is -52.

Solve 10x − 2 = −52

How to work it out

Trying values of x in 10x − 2 = −52

Questions

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