Solve for x 4x+7=7(x+1)-3x

$4 x + 7 = 7 (x + 1) - 3 x$

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

$7 (x + 1) - 3 x = 4 x + 7$

Simplify $7 (x + 1) - 3 x$ .

Simplify each term.

Apply the distributive property.

$7 x + 7 \cdot 1 - 3 x = 4 x + 7$

Multiply $7$ by $1$ .

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

Subtract $3 x$ from $7 x$ .

$4 x + 7 = 4 x + 7$

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

Subtract $4 x$ from both sides of the equation.

$4 x + 7 - 4 x = 7$

Combine the opposite terms in $4 x + 7 - 4 x$ .

Subtract $4 x$ from $4 x$ .

$0 + 7 = 7$

Add $0$ and $7$ .

$7 = 7$

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

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$