Solve 5(6-x)-3=5+4(x+3)

$$5 ( 6 - x ) - 3 = 5 + 4 ( x + 3 )$$

Solve for x

$$x = \frac{10}{9} = 1\frac{1}{9} \approx 1.111111111$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 6-x.

$$30-5x-3=5+4\left(x+3\right)$$

Subtract 3 from 30 to get 27.

$$27-5x=5+4\left(x+3\right)$$

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

$$27-5x=5+4x+12$$

Add 5 and 12 to get 17.

$$27-5x=17+4x$$

Subtract 4x from both sides.

$$27-5x-4x=17$$

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

$$27-9x=17$$

Subtract 27 from both sides.

$$-9x=17-27$$

Subtract 27 from 17 to get -10.

$$-9x=-10$$

Divide both sides by -9.

$$x=\frac{-10}{-9}$$

Fraction \frac{-10}{-9} can be simplified to \frac{10}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{10}{9}$$