Solve 4(3-5x)-7(5-4x)+3=0

$$4(3-5x)-7(5-4x)+3=0$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 3-5x.

$$12-20x-7\left(5-4x\right)+3=0$$

Use the distributive property to multiply -7 by 5-4x.

$$12-20x-35+28x+3=0$$

Subtract 35 from 12 to get -23.

$$-23-20x+28x+3=0$$

Combine -20x and 28x to get 8x.

$$-23+8x+3=0$$

Add -23 and 3 to get -20.

$$-20+8x=0$$

Add 20 to both sides. Anything plus zero gives itself.

$$8x=20$$

Divide both sides by 8.

$$x=\frac{20}{8}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{5}{2}$$