Solve 4*(2x-1)=30(2x-4)

$$4 \cdot ( 2 x - 1 ) = 30 ( 2 x - 4 )$$

Solve for x

$$x = \frac{29}{13} = 2\frac{3}{13} \approx 2.230769231$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x-1.

$$8x-4=30\left(2x-4\right)$$

Use the distributive property to multiply 30 by 2x-4.

$$8x-4=60x-120$$

Subtract 60x from both sides.

$$8x-4-60x=-120$$

Combine 8x and -60x to get -52x.

$$-52x-4=-120$$

Add 4 to both sides.

$$-52x=-120+4$$

Add -120 and 4 to get -116.

$$-52x=-116$$

Divide both sides by -52.

$$x=\frac{-116}{-52}$$

Reduce the fraction \frac{-116}{-52} to lowest terms by extracting and canceling out -4.

$$x=\frac{29}{13}$$