Solve 5x-25left(7-4xright)=x-7left(4+xright)

$$5x-25 \left( 7-4x \right) = x-7 \left( 4+x \right)$$

Solve for x

$$x = \frac{49}{37} = 1\frac{12}{37} \approx 1.324324324$$

Steps for Solving Linear Equation

Use the distributive property to multiply -25 by 7-4x.

$$5x-175+100x=x-7\left(4+x\right)$$

Combine 5x and 100x to get 105x.

$$105x-175=x-7\left(4+x\right)$$

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

$$105x-175=x-28-7x$$

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

$$105x-175=-6x-28$$

Add 6x to both sides.

$$105x-175+6x=-28$$

Combine 105x and 6x to get 111x.

$$111x-175=-28$$

Add 175 to both sides.

$$111x=-28+175$$

Add -28 and 175 to get 147.

$$111x=147$$

Divide both sides by 111.

$$x=\frac{147}{111}$$

Reduce the fraction \frac{147}{111} to lowest terms by extracting and canceling out 3.

$$x=\frac{49}{37}$$