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

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

Solve for x

$$x = \frac{14}{5} = 2\frac{4}{5} = 2.8$$

Steps for Solving Linear Equation

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

$$4-6x+12=5-\left(x+3\right)$$

Add 4 and 12 to get 16.

$$16-6x=5-\left(x+3\right)$$

To find the opposite of x+3, find the opposite of each term.

$$16-6x=5-x-3$$

Subtract 3 from 5 to get 2.

$$16-6x=2-x$$

Add x to both sides.

$$16-6x+x=2$$

Combine -6x and x to get -5x.

$$16-5x=2$$

Subtract 16 from both sides.

$$-5x=2-16$$

Subtract 16 from 2 to get -14.

$$-5x=-14$$

Divide both sides by -5.

$$x=\frac{-14}{-5}$$

Fraction \frac{-14}{-5} can be simplified to \frac{14}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{14}{5}$$