Solve 4:(x+2)-3=25

$$4 : ( x + 2 ) - 3 = 25$$

Solve for x

$$x = -\frac{13}{7} = -1\frac{6}{7} \approx -1.857142857$$

Steps for Solving Linear Equation

Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.

$$4+\left(x+2\right)\left(-3\right)=25\left(x+2\right)$$

Use the distributive property to multiply x+2 by -3.

$$4-3x-6=25\left(x+2\right)$$

Subtract 6 from 4 to get -2.

$$-2-3x=25\left(x+2\right)$$

Use the distributive property to multiply 25 by x+2.

$$-2-3x=25x+50$$

Subtract 25x from both sides.

$$-2-3x-25x=50$$

Combine -3x and -25x to get -28x.

$$-2-28x=50$$

Add 2 to both sides.

$$-28x=50+2$$

Add 50 and 2 to get 52.

$$-28x=52$$

Divide both sides by -28.

$$x=\frac{52}{-28}$$

Reduce the fraction \frac{52}{-28} to lowest terms by extracting and canceling out 4.

$$x=-\frac{13}{7}$$