Solve 5x-2.5left(7-4xright)=x-7left(4+xright)

$$5x-2.5 \left( 7-4x \right) = x-7 \left( 4+x \right)$$

Solve for x

$$x=-0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2.5 by 7-4x.

$$5x-17.5+10x=x-7\left(4+x\right)$$

Combine 5x and 10x to get 15x.

$$15x-17.5=x-7\left(4+x\right)$$

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

$$15x-17.5=x-28-7x$$

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

$$15x-17.5=-6x-28$$

Add 6x to both sides.

$$15x-17.5+6x=-28$$

Combine 15x and 6x to get 21x.

$$21x-17.5=-28$$

Add 17.5 to both sides.

$$21x=-28+17.5$$

Add -28 and 17.5 to get -10.5.

$$21x=-10.5$$

Divide both sides by 21.

$$x=\frac{-10.5}{21}$$

Expand \frac{-10.5}{21} by multiplying both numerator and the denominator by 10.

$$x=\frac{-105}{210}$$

Reduce the fraction \frac{-105}{210} to lowest terms by extracting and canceling out 105.

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