Solve 3*left(2x-2*5right)/5-2x+2*5=2-x/2

$$\frac{ 3 \times \left( 2x-2 \cdot 5 \right) }{ 5 } -2x+2 \cdot 5 = \frac{ 2-x }{ 2 }$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,2.

$$2\times 3\left(2x-2\times 5\right)-20x+20\times 5=5\left(2-x\right)$$

Multiply 2 and 3 to get 6.

$$6\left(2x-2\times 5\right)-20x+20\times 5=5\left(2-x\right)$$

Multiply 2 and 5 to get 10.

$$6\left(2x-10\right)-20x+20\times 5=5\left(2-x\right)$$

Use the distributive property to multiply 6 by 2x-10.

$$12x-60-20x+20\times 5=5\left(2-x\right)$$

Combine 12x and -20x to get -8x.

$$-8x-60+20\times 5=5\left(2-x\right)$$

Multiply 20 and 5 to get 100.

$$-8x-60+100=5\left(2-x\right)$$

Add -60 and 100 to get 40.

$$-8x+40=5\left(2-x\right)$$

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

$$-8x+40=10-5x$$

Add 5x to both sides.

$$-8x+40+5x=10$$

Combine -8x and 5x to get -3x.

$$-3x+40=10$$

Subtract 40 from both sides.

$$-3x=10-40$$

Subtract 40 from 10 to get -30.

$$-3x=-30$$

Divide both sides by -3.

$$x=\frac{-30}{-3}$$

Divide -30 by -3 to get 10.

$$x=10$$