Solve 2(x-3)geq7x+4/6

$$2 ( x - 3 ) \geq \frac { 7 x + 4 } { 6 }$$

Solve for x

$$x\geq 8$$

Solution Steps

Multiply both sides of the equation by 6. Since 6 is positive, the inequality direction remains the same.

$$12\left(x-3\right)\geq 7x+4$$

Use the distributive property to multiply 12 by x-3.

$$12x-36\geq 7x+4$$

Subtract 7x from both sides.

$$12x-36-7x\geq 4$$

Combine 12x and -7x to get 5x.

$$5x-36\geq 4$$

Add 36 to both sides.

$$5x\geq 4+36$$

Add 4 and 36 to get 40.

$$5x\geq 40$$

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

$$x\geq \frac{40}{5}$$

Divide 40 by 5 to get 8.

$$x\geq 8$$