Solve 10x + 4 = −96

The solution of 10x + 4 = −96 is x = -10.

10x + 4 = -96\ \Rightarrow\ x = -10

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The lines y = 10x + 4 and y = -96 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.
$10x + 4 = -96$
2
Subtract 4 from both sides:
$10x + 4 - 4 = -96 - 4 \ \Rightarrow\ 10x = -100$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-100}{10} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$10\cdot(-10) + 4 = -100 + 4 = -96 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 4 = -96\ \Rightarrow\ x = -10 \]
\[ 10x + 4 = -96 \]
\[ 10x + 4 - 4 = -96 - 4 \ \Rightarrow\ 10x = -100 \]
\[ \frac{10x}{10} = \frac{-100}{10} \ \Rightarrow\ x = -10 \]
\[ 10\cdot(-10) + 4 = -100 + 4 = -96 \checkmark \]

Trying values of x in 10x + 4 = −96

x	10x + 4	Equals -96?
-12	-116	no
-11	-106	no
-10	-96	yes
-9	-86	no
-8	-76	no

Questions

What is x in 10x + 4 = −96?

The solution of 10x + 4 = −96 is x = -10.

How do you solve 10x + 4 = −96?

Subtract 4 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) + 4 = -96, which is -96.

Solve 10x + 4 = −96

How to work it out

Trying values of x in 10x + 4 = −96

Questions

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