Solve 3(2x-1)-5(x-3)+6(3x-4)=24

$$3 ( 2 x - 1 ) - 5 ( x - 3 ) + 6 ( 3 x - 4 ) = 24$$

Solve for x

$$x = \frac{36}{19} = 1\frac{17}{19} \approx 1.894736842$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x-1.

$$6x-3-5\left(x-3\right)+6\left(3x-4\right)=24$$

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

$$6x-3-5x+15+6\left(3x-4\right)=24$$

Combine 6x and -5x to get x.

$$x-3+15+6\left(3x-4\right)=24$$

Add -3 and 15 to get 12.

$$x+12+6\left(3x-4\right)=24$$

Use the distributive property to multiply 6 by 3x-4.

$$x+12+18x-24=24$$

Combine x and 18x to get 19x.

$$19x+12-24=24$$

Subtract 24 from 12 to get -12.

$$19x-12=24$$

Add 12 to both sides.

$$19x=24+12$$

Add 24 and 12 to get 36.

$$19x=36$$

Divide both sides by 19.

$$x=\frac{36}{19}$$