Solve for x 3(1-2x)>3-6x

$3 (1 - 2 x) > 3 - 6 x$

Step 1

Simplify $3 (1 - 2 x)$ .

Rewrite.

$0 + 0 + 3 (1 - 2 x) > 3 - 6 x$

Simplify by adding zeros.

$3 (1 - 2 x) > 3 - 6 x$

Apply the distributive property.

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

Multiply.

Multiply $3$ by $1$ .

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

Multiply $- 2$ by $3$ .

$3 - 6 x > 3 - 6 x$

Step 2

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

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

$3 - 6 x + 6 x > 3$

Combine the opposite terms in $3 - 6 x + 6 x$ .

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

$3 + 0 > 3$

Add $3$ and $0$ .

$3 > 3$

Step 3

Since $3 < 3$ , there are no solutions.

No solution