Solve 3x-5geq2(1-2x)

$$3 x - 5 \geq 2 ( 1 - 2 x )$$

Solve for x

$$x\geq 1$$

Solution Steps

Use the distributive property to multiply 2 by 1-2x.

$$3x-5\geq 2-4x$$

Add 4x to both sides.

$$3x-5+4x\geq 2$$

Combine 3x and 4x to get 7x.

$$7x-5\geq 2$$

Add 5 to both sides.

$$7x\geq 2+5$$

Add 2 and 5 to get 7.

$$7x\geq 7$$

Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.

$$x\geq \frac{7}{7}$$

Divide 7 by 7 to get 1.

$$x\geq 1$$