Solve 3x+1/5=2(x-1)/3-9

$$\frac { 3 x + 1 } { 5 } = \frac { 2 ( x - 1 ) } { 3 } - 9$$

Solve for x

$$x=148$$

Steps for Solving Linear Equation

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

$$3\left(3x+1\right)=5\times 2\left(x-1\right)-135$$

Use the distributive property to multiply 3 by 3x+1.

$$9x+3=5\times 2\left(x-1\right)-135$$

Multiply 5 and 2 to get 10.

$$9x+3=10\left(x-1\right)-135$$

Use the distributive property to multiply 10 by x-1.

$$9x+3=10x-10-135$$

Subtract 135 from -10 to get -145.

$$9x+3=10x-145$$

Subtract 10x from both sides.

$$9x+3-10x=-145$$

Combine 9x and -10x to get -x.

$$-x+3=-145$$

Subtract 3 from both sides.

$$-x=-145-3$$

Subtract 3 from -145 to get -148.

$$-x=-148$$

Multiply both sides by -1.

$$x=148$$