Solve 9x-4(2x-5)=7(x-1)

$$9 x - 4 ( 2 x - 5 ) = 7 ( x - 1 )$$

Solve for x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 2x-5.

$$9x-8x+20=7\left(x-1\right)$$

Combine 9x and -8x to get x.

$$x+20=7\left(x-1\right)$$

Use the distributive property to multiply 7 by x-1.

$$x+20=7x-7$$

Subtract 7x from both sides.

$$x+20-7x=-7$$

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

$$-6x+20=-7$$

Subtract 20 from both sides.

$$-6x=-7-20$$

Subtract 20 from -7 to get -27.

$$-6x=-27$$

Divide both sides by -6.

$$x=\frac{-27}{-6}$$

Reduce the fraction \frac{-27}{-6} to lowest terms by extracting and canceling out -3.

$$x=\frac{9}{2}$$