Solve 2x-3(x-4)+5=2-2(3-4x)

$$2x-3(x-4)+5=2-2(3-4x)$$

Solve for x

$$x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

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

$$2x-3x+12+5=2-2\left(3-4x\right)$$

Combine 2x and -3x to get -x.

$$-x+12+5=2-2\left(3-4x\right)$$

Add 12 and 5 to get 17.

$$-x+17=2-2\left(3-4x\right)$$

Use the distributive property to multiply -2 by 3-4x.

$$-x+17=2-6+8x$$

Subtract 6 from 2 to get -4.

$$-x+17=-4+8x$$

Subtract 8x from both sides.

$$-x+17-8x=-4$$

Combine -x and -8x to get -9x.

$$-9x+17=-4$$

Subtract 17 from both sides.

$$-9x=-4-17$$

Subtract 17 from -4 to get -21.

$$-9x=-21$$

Divide both sides by -9.

$$x=\frac{-21}{-9}$$

Reduce the fraction \frac{-21}{-9} to lowest terms by extracting and canceling out -3.

$$x=\frac{7}{3}$$