Solve 4x-5/3-5=15-3x/9+x/2

$$\frac { 4 x - 5 } { 3 } - 5 = \frac { 15 - 3 x } { 9 } + \frac { x } { 2 }$$

Solve for x

$$x = \frac{50}{7} = 7\frac{1}{7} \approx 7.142857143$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 3,9,2.

$$6\left(4x-5\right)-90=2\left(15-3x\right)+9x$$

Use the distributive property to multiply 6 by 4x-5.

$$24x-30-90=2\left(15-3x\right)+9x$$

Subtract 90 from -30 to get -120.

$$24x-120=2\left(15-3x\right)+9x$$

Use the distributive property to multiply 2 by 15-3x.

$$24x-120=30-6x+9x$$

Combine -6x and 9x to get 3x.

$$24x-120=30+3x$$

Subtract 3x from both sides.

$$24x-120-3x=30$$

Combine 24x and -3x to get 21x.

$$21x-120=30$$

Add 120 to both sides.

$$21x=30+120$$

Add 30 and 120 to get 150.

$$21x=150$$

Divide both sides by 21.

$$x=\frac{150}{21}$$

Reduce the fraction \frac{150}{21} to lowest terms by extracting and canceling out 3.

$$x=\frac{50}{7}$$