Solve 4x − 7 = −3

The solution of 4x − 7 = −3 is x = 1.

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

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The lines y = 4x − 7 and y = -3 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 subtraction, then the multiplication.
$4x - 7 = -3$
2
Add 7 to both sides:
$4x - 7 + 7 = -3 + 7 \ \Rightarrow\ 4x = 4$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{4}{4} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$4\cdot1 - 7 = 4 - 7 = -3 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 7 = -3\ \Rightarrow\ x = 1 \]
\[ 4x - 7 = -3 \]
\[ 4x - 7 + 7 = -3 + 7 \ \Rightarrow\ 4x = 4 \]
\[ \frac{4x}{4} = \frac{4}{4} \ \Rightarrow\ x = 1 \]
\[ 4\cdot1 - 7 = 4 - 7 = -3 \checkmark \]

Trying values of x in 4x − 7 = −3

x	4x − 7	Equals -3?
-1	-11	no
0	-7	no
1	-3	yes
2	1	no
3	5	no

Questions

What is x in 4x − 7 = −3?

The solution of 4x − 7 = −3 is x = 1.

How do you solve 4x − 7 = −3?

Add 7 to both sides to get 4x = 4, then divide both sides by 4 to get x = 1.

How do I check the answer?

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

Solve 4x − 7 = −3

How to work it out

Trying values of x in 4x − 7 = −3

Questions

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