Solve 10x − 3 = −33

The solution of 10x − 3 = −33 is x = -3.

10x - 3 = -33\ \Rightarrow\ x = -3

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The lines y = 10x − 3 and y = -33 meet at x = -3. 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.
$10x - 3 = -33$
2
Add 3 to both sides:
$10x - 3 + 3 = -33 + 3 \ \Rightarrow\ 10x = -30$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-30}{10} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$10\cdot(-3) - 3 = -30 - 3 = -33 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 3 = -33\ \Rightarrow\ x = -3 \]
\[ 10x - 3 = -33 \]
\[ 10x - 3 + 3 = -33 + 3 \ \Rightarrow\ 10x = -30 \]
\[ \frac{10x}{10} = \frac{-30}{10} \ \Rightarrow\ x = -3 \]
\[ 10\cdot(-3) - 3 = -30 - 3 = -33 \checkmark \]

Trying values of x in 10x − 3 = −33

x	10x − 3	Equals -33?
-5	-53	no
-4	-43	no
-3	-33	yes
-2	-23	no
-1	-13	no

Questions

What is x in 10x − 3 = −33?

The solution of 10x − 3 = −33 is x = -3.

How do you solve 10x − 3 = −33?

Add 3 to both sides to get 10x = -30, then divide both sides by 10 to get x = -3.

How do I check the answer?

Replace x by -3: 10(-3) − 3 = -33, which is -33.

Solve 10x − 3 = −33

How to work it out

Trying values of x in 10x − 3 = −33

Questions

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