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

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

Solve for x

$$x = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Steps for Solving Linear Equation

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

$$5-12+6x=2\left(5-x\right)-3$$

Subtract 12 from 5 to get -7.

$$-7+6x=2\left(5-x\right)-3$$

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

$$-7+6x=10-2x-3$$

Subtract 3 from 10 to get 7.

$$-7+6x=7-2x$$

Add 2x to both sides.

$$-7+6x+2x=7$$

Combine 6x and 2x to get 8x.

$$-7+8x=7$$

Add 7 to both sides.

$$8x=7+7$$

Add 7 and 7 to get 14.

$$8x=14$$

Divide both sides by 8.

$$x=\frac{14}{8}$$

Reduce the fraction \frac{14}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{7}{4}$$