Solve 4x-3(20-x)=6x-7(9-x)

$$4 x - 3 ( 20 - x ) = 6 x - 7 ( 9 - x )$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 20-x.

$$4x-60+3x=6x-7\left(9-x\right)$$

Combine 4x and 3x to get 7x.

$$7x-60=6x-7\left(9-x\right)$$

Use the distributive property to multiply -7 by 9-x.

$$7x-60=6x-63+7x$$

Combine 6x and 7x to get 13x.

$$7x-60=13x-63$$

Subtract 13x from both sides.

$$7x-60-13x=-63$$

Combine 7x and -13x to get -6x.

$$-6x-60=-63$$

Add 60 to both sides.

$$-6x=-63+60$$

Add -63 and 60 to get -3.

$$-6x=-3$$

Divide both sides by -6.

$$x=\frac{-3}{-6}$$

Reduce the fraction \frac{-3}{-6} to lowest terms by extracting and canceling out -3.

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