Solve 9(x-1)/15=3(x+4)/10

$$\frac { 9 ( x - 1 ) } { 15 } = \frac { 3 ( x + 4 ) } { 10 }$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 15,10.

$$2\times 9\left(x-1\right)=3\times 3\left(x+4\right)$$

Multiply 2 and 9 to get 18.

$$18\left(x-1\right)=3\times 3\left(x+4\right)$$

Use the distributive property to multiply 18 by x-1.

$$18x-18=3\times 3\left(x+4\right)$$

Multiply 3 and 3 to get 9.

$$18x-18=9\left(x+4\right)$$

Use the distributive property to multiply 9 by x+4.

$$18x-18=9x+36$$

Subtract 9x from both sides.

$$18x-18-9x=36$$

Combine 18x and -9x to get 9x.

$$9x-18=36$$

Add 18 to both sides.

$$9x=36+18$$

Add 36 and 18 to get 54.

$$9x=54$$

Divide both sides by 9.

$$x=\frac{54}{9}$$

Divide 54 by 9 to get 6.

$$x=6$$