Solve 10x + 7 = −83

The solution of 10x + 7 = −83 is x = -9.

10x + 7 = -83\ \Rightarrow\ x = -9

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The lines y = 10x + 7 and y = -83 meet at x = -9. 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.
$10x + 7 = -83$
2
Subtract 7 from both sides:
$10x + 7 - 7 = -83 - 7 \ \Rightarrow\ 10x = -90$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-90}{10} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$10\cdot(-9) + 7 = -90 + 7 = -83 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 7 = -83\ \Rightarrow\ x = -9 \]
\[ 10x + 7 = -83 \]
\[ 10x + 7 - 7 = -83 - 7 \ \Rightarrow\ 10x = -90 \]
\[ \frac{10x}{10} = \frac{-90}{10} \ \Rightarrow\ x = -9 \]
\[ 10\cdot(-9) + 7 = -90 + 7 = -83 \checkmark \]

Trying values of x in 10x + 7 = −83

x	10x + 7	Equals -83?
-11	-103	no
-10	-93	no
-9	-83	yes
-8	-73	no
-7	-63	no

Questions

What is x in 10x + 7 = −83?

The solution of 10x + 7 = −83 is x = -9.

How do you solve 10x + 7 = −83?

Subtract 7 from both sides to get 10x = -90, then divide both sides by 10 to get x = -9.

How do I check the answer?

Replace x by -9: 10(-9) + 7 = -83, which is -83.

Solve 10x + 7 = −83

How to work it out

Trying values of x in 10x + 7 = −83

Questions

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