Solve 7x + 3 = −4

The solution of 7x + 3 = −4 is x = -1.

7x + 3 = -4\ \Rightarrow\ x = -1

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The lines y = 7x + 3 and y = -4 meet at x = -1. 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.
$7x + 3 = -4$
2
Subtract 3 from both sides:
$7x + 3 - 3 = -4 - 3 \ \Rightarrow\ 7x = -7$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-7}{7} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$7\cdot(-1) + 3 = -7 + 3 = -4 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 3 = -4\ \Rightarrow\ x = -1 \]
\[ 7x + 3 = -4 \]
\[ 7x + 3 - 3 = -4 - 3 \ \Rightarrow\ 7x = -7 \]
\[ \frac{7x}{7} = \frac{-7}{7} \ \Rightarrow\ x = -1 \]
\[ 7\cdot(-1) + 3 = -7 + 3 = -4 \checkmark \]

Trying values of x in 7x + 3 = −4

x	7x + 3	Equals -4?
-3	-18	no
-2	-11	no
-1	-4	yes
0	3	no
1	10	no

Questions

What is x in 7x + 3 = −4?

The solution of 7x + 3 = −4 is x = -1.

How do you solve 7x + 3 = −4?

Subtract 3 from both sides to get 7x = -7, then divide both sides by 7 to get x = -1.

How do I check the answer?

Replace x by -1: 7(-1) + 3 = -4, which is -4.

Solve 7x + 3 = −4

How to work it out

Trying values of x in 7x + 3 = −4

Questions

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