Solve x+4/5+1=x-x-3/3

$$\frac { x + 4 } { 5 } + 1 = x - \frac { x - 3 } { 3 }$$

Solve for x

$$x = \frac{12}{7} = 1\frac{5}{7} \approx 1.714285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(x+4\right)+15=15x-5\left(x-3\right)$$

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

$$3x+12+15=15x-5\left(x-3\right)$$

Add 12 and 15 to get 27.

$$3x+27=15x-5\left(x-3\right)$$

Use the distributive property to multiply -5 by x-3.

$$3x+27=15x-5x+15$$

Combine 15x and -5x to get 10x.

$$3x+27=10x+15$$

Subtract 10x from both sides.

$$3x+27-10x=15$$

Combine 3x and -10x to get -7x.

$$-7x+27=15$$

Subtract 27 from both sides.

$$-7x=15-27$$

Subtract 27 from 15 to get -12.

$$-7x=-12$$

Divide both sides by -7.

$$x=\frac{-12}{-7}$$

Fraction \frac{-12}{-7} can be simplified to \frac{12}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{12}{7}$$