Solve for x 10-3(2x-1)=1-6x

$10 - 3 (2 x - 1) = 1 - 6 x$

Step 1

Simplify $10 - 3 (2 x - 1)$ .

Simplify each term.

Apply the distributive property.

$10 - 3 (2 x) - 3 \cdot - 1 = 1 - 6 x$

Multiply $2$ by $- 3$ .

$10 - 6 x - 3 \cdot - 1 = 1 - 6 x$

Multiply $- 3$ by $- 1$ .

$10 - 6 x + 3 = 1 - 6 x$

Add $10$ and $3$ .

$- 6 x + 13 = 1 - 6 x$

Step 2

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

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

$- 6 x + 13 + 6 x = 1$

Combine the opposite terms in $- 6 x + 13 + 6 x$ .

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

$0 + 13 = 1$

Add $0$ and $13$ .

$13 = 1$

Step 3

Since $13 \neq 1$ , there are no solutions.

No solution