Solve 4(3-5x)=5-2(7-2x)

$$4 ( 3 - 5 x ) = 5 - 2 ( 7 - 2 x )$$

Solve for x

$$x=\frac{7}{8}=0.875$$

Steps for Solving Linear Equation

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

$$12-20x=5-2\left(7-2x\right)$$

Use the distributive property to multiply -2 by 7-2x.

$$12-20x=5-14+4x$$

Subtract 14 from 5 to get -9.

$$12-20x=-9+4x$$

Subtract 4x from both sides.

$$12-20x-4x=-9$$

Combine -20x and -4x to get -24x.

$$12-24x=-9$$

Subtract 12 from both sides.

$$-24x=-9-12$$

Subtract 12 from -9 to get -21.

$$-24x=-21$$

Divide both sides by -24.

$$x=\frac{-21}{-24}$$

Reduce the fraction \frac{-21}{-24} to lowest terms by extracting and canceling out -3.

$$x=\frac{7}{8}$$