Solve for x 5x-7x+6=-2(x-3)

$5 x - 7 x + 6 = - 2 (x - 3)$

Subtract $7 x$ from $5 x$ .

$- 2 x + 6 = - 2 (x - 3)$

Simplify $- 2 (x - 3)$ .

Apply the distributive property.

$- 2 x + 6 = - 2 x - 2 \cdot - 3$

Multiply $- 2$ by $- 3$ .

$- 2 x + 6 = - 2 x + 6$

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

Add $2 x$ to both sides of the equation.

$- 2 x + 6 + 2 x = 6$

Combine the opposite terms in $- 2 x + 6 + 2 x$ .

Add $- 2 x$ and $2 x$ .

$0 + 6 = 6$

Add $0$ and $6$ .

$6 = 6$

Since $6 = 6$ , 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:

$(- \infty, \infty)$