Solve 6(x-1)-1=4(2x+1)-12x+9

$$6 ( x - 1 ) - 1 = 4 ( 2 x + 1 ) - 12 x + 9$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x-1.

$$6x-6-1=4\left(2x+1\right)-12x+9$$

Subtract 1 from -6 to get -7.

$$6x-7=4\left(2x+1\right)-12x+9$$

Use the distributive property to multiply 4 by 2x+1.

$$6x-7=8x+4-12x+9$$

Combine 8x and -12x to get -4x.

$$6x-7=-4x+4+9$$

Add 4 and 9 to get 13.

$$6x-7=-4x+13$$

Add 4x to both sides.

$$6x-7+4x=13$$

Combine 6x and 4x to get 10x.

$$10x-7=13$$

Add 7 to both sides.

$$10x=13+7$$

Add 13 and 7 to get 20.

$$10x=20$$

Divide both sides by 10.

$$x=\frac{20}{10}$$

Divide 20 by 10 to get 2.

$$x=2$$