Solve 2x-3(x-5(x-2))=7x+30

$$2 x - 3 ( x - 5 ( x - 2 ) ) = 7 x + 30$$

Solve for x

$$x = \frac{60}{7} = 8\frac{4}{7} \approx 8.571428571$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x-2.

$$2x-3\left(x-5x+10\right)=7x+30$$

Combine x and -5x to get -4x.

$$2x-3\left(-4x+10\right)=7x+30$$

Use the distributive property to multiply -3 by -4x+10.

$$2x+12x-30=7x+30$$

Combine 2x and 12x to get 14x.

$$14x-30=7x+30$$

Subtract 7x from both sides.

$$14x-30-7x=30$$

Combine 14x and -7x to get 7x.

$$7x-30=30$$

Add 30 to both sides.

$$7x=30+30$$

Add 30 and 30 to get 60.

$$7x=60$$

Divide both sides by 7.

$$x=\frac{60}{7}$$