Solve 12x-5(x-3)=6x-4(3x-11)-3

$$12 x - 5 ( x - 3 ) = 6 x - 4 ( 3 x - 11 ) - 3$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$12x-5x+15=6x-4\left(3x-11\right)-3$$

Combine 12x and -5x to get 7x.

$$7x+15=6x-4\left(3x-11\right)-3$$

Use the distributive property to multiply -4 by 3x-11.

$$7x+15=6x-12x+44-3$$

Combine 6x and -12x to get -6x.

$$7x+15=-6x+44-3$$

Subtract 3 from 44 to get 41.

$$7x+15=-6x+41$$

Add 6x to both sides.

$$7x+15+6x=41$$

Combine 7x and 6x to get 13x.

$$13x+15=41$$

Subtract 15 from both sides.

$$13x=41-15$$

Subtract 15 from 41 to get 26.

$$13x=26$$

Divide both sides by 13.

$$x=\frac{26}{13}$$

Divide 26 by 13 to get 2.

$$x=2$$