Solve for x 7x+7=6x+4+x+3

$7 x + 7 = 6 x + 4 + x + 3$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 x + 4 + x + 3 = 7 x + 7$

Step 2

Simplify $6 x + 4 + x + 3$ .

Add $6 x$ and $x$ .

$7 x + 4 + 3 = 7 x + 7$

Add $4$ and $3$ .

$7 x + 7 = 7 x + 7$

Step 3

Move all terms containing $x$ to the left side of the equation.

Subtract $7 x$ from both sides of the equation.

$7 x + 7 - 7 x = 7$

Combine the opposite terms in $7 x + 7 - 7 x$ .

Subtract $7 x$ from $7 x$ .

$0 + 7 = 7$

Add $0$ and $7$ .

$7 = 7$

Step 4

Since $7 = 7$ , the equation will always be true for any value of $x$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$