Solve 3(x-1)/2-x-2/5=151

$$\frac { 3 ( x - 1 ) } { 2 } - \frac { x - 2 } { 5 } = 151$$

Solve for x

$$x=117$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

$$5\times 3\left(x-1\right)-2\left(x-2\right)=1510$$

Multiply 5 and 3 to get 15.

$$15\left(x-1\right)-2\left(x-2\right)=1510$$

Use the distributive property to multiply 15 by x-1.

$$15x-15-2\left(x-2\right)=1510$$

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

$$15x-15-2x+4=1510$$

Combine 15x and -2x to get 13x.

$$13x-15+4=1510$$

Add -15 and 4 to get -11.

$$13x-11=1510$$

Add 11 to both sides.

$$13x=1510+11$$

Add 1510 and 11 to get 1521.

$$13x=1521$$

Divide both sides by 13.

$$x=\frac{1521}{13}$$

Divide 1521 by 13 to get 117.

$$x=117$$