Solve for x 2-3(2x-1)=-6x+5

$2 - 3 (2 x - 1) = - 6 x + 5$

Simplify $2 - 3 (2 x - 1)$ .

Simplify each term.

Apply the distributive property.

$2 - 3 (2 x) - 3 \cdot - 1 = - 6 x + 5$

Multiply $2$ by $- 3$ .

$2 - 6 x - 3 \cdot - 1 = - 6 x + 5$

Multiply $- 3$ by $- 1$ .

$2 - 6 x + 3 = - 6 x + 5$

Add $2$ and $3$ .

$- 6 x + 5 = - 6 x + 5$

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

Add $6 x$ to both sides of the equation.

$- 6 x + 5 + 6 x = 5$

Combine the opposite terms in $- 6 x + 5 + 6 x$ .

Add $- 6 x$ and $6 x$ .

$0 + 5 = 5$

Add $0$ and $5$ .

$5 = 5$

Since $5 = 5$ , 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:

$(- \infty, \infty)$