Solve 4(5-x)=25-3(3x+4)

$$4 ( 5 - x ) = 25 - 3 ( 3 x + 4 )$$

Solve for x

$$x = -\frac{7}{5} = -1\frac{2}{5} = -1.4$$

Steps for Solving Linear Equation

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

$$20-4x=25-3\left(3x+4\right)$$

Use the distributive property to multiply -3 by 3x+4.

$$20-4x=25-9x-12$$

Subtract 12 from 25 to get 13.

$$20-4x=13-9x$$

Add 9x to both sides.

$$20-4x+9x=13$$

Combine -4x and 9x to get 5x.

$$20+5x=13$$

Subtract 20 from both sides.

$$5x=13-20$$

Subtract 20 from 13 to get -7.

$$5x=-7$$

Divide both sides by 5.

$$x=\frac{-7}{5}$$

Fraction \frac{-7}{5} can be rewritten as -\frac{7}{5} by extracting the negative sign.

$$x=-\frac{7}{5}$$