Solve 2(1-4x)/5-9=3(2-x)

$$\frac{ 2(1-4x) }{ 5 } -9=3(2-x)$$

Solve for x

$$x = \frac{73}{7} = 10\frac{3}{7} \approx 10.428571429$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$2\left(1-4x\right)-45=15\left(2-x\right)$$

Use the distributive property to multiply 2 by 1-4x.

$$2-8x-45=15\left(2-x\right)$$

Subtract 45 from 2 to get -43.

$$-43-8x=15\left(2-x\right)$$

Use the distributive property to multiply 15 by 2-x.

$$-43-8x=30-15x$$

Add 15x to both sides.

$$-43-8x+15x=30$$

Combine -8x and 15x to get 7x.

$$-43+7x=30$$

Add 43 to both sides.

$$7x=30+43$$

Add 30 and 43 to get 73.

$$7x=73$$

Divide both sides by 7.

$$x=\frac{73}{7}$$