Solve 7x + 5 = −2

The solution of 7x + 5 = −2 is x = -1.

7x + 5 = -2\ \Rightarrow\ x = -1

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The lines y = 7x + 5 and y = -2 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.
$7x + 5 = -2$
2
Subtract 5 from both sides:
$7x + 5 - 5 = -2 - 5 \ \Rightarrow\ 7x = -7$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-7}{7} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$7\cdot(-1) + 5 = -7 + 5 = -2 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 5 = -2\ \Rightarrow\ x = -1 \]
\[ 7x + 5 = -2 \]
\[ 7x + 5 - 5 = -2 - 5 \ \Rightarrow\ 7x = -7 \]
\[ \frac{7x}{7} = \frac{-7}{7} \ \Rightarrow\ x = -1 \]
\[ 7\cdot(-1) + 5 = -7 + 5 = -2 \checkmark \]

Trying values of x in 7x + 5 = −2

x	7x + 5	Equals -2?
-3	-16	no
-2	-9	no
-1	-2	yes
0	5	no
1	12	no

Questions

What is x in 7x + 5 = −2?

The solution of 7x + 5 = −2 is x = -1.

How do you solve 7x + 5 = −2?

Subtract 5 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) + 5 = -2, which is -2.

Solve 7x + 5 = −2

How to work it out

Trying values of x in 7x + 5 = −2

Questions

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