Solve 2/3(x-3)=3x-5/4

$$\frac { 2 } { 3 } ( x - 3 ) = \frac { 3 x - 5 } { 4 }$$

Solve for x

$$x=-9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$8\left(x-3\right)=3\left(3x-5\right)$$

Use the distributive property to multiply 8 by x-3.

$$8x-24=3\left(3x-5\right)$$

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

$$8x-24=9x-15$$

Subtract 9x from both sides.

$$8x-24-9x=-15$$

Combine 8x and -9x to get -x.

$$-x-24=-15$$

Add 24 to both sides.

$$-x=-15+24$$

Add -15 and 24 to get 9.

$$-x=9$$

Multiply both sides by -1.

$$x=-9$$