Solve 2(x-2)+3(2x-1)=9(x-1)

$$2 ( x - 2 ) + 3 ( 2 x - 1 ) = 9 ( x - 1 )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

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

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

$$2x-4+6x-3=9\left(x-1\right)$$

Combine 2x and 6x to get 8x.

$$8x-4-3=9\left(x-1\right)$$

Subtract 3 from -4 to get -7.

$$8x-7=9\left(x-1\right)$$

Use the distributive property to multiply 9 by x-1.

$$8x-7=9x-9$$

Subtract 9x from both sides.

$$8x-7-9x=-9$$

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

$$-x-7=-9$$

Add 7 to both sides.

$$-x=-9+7$$

Add -9 and 7 to get -2.

$$-x=-2$$

Multiply both sides by -1.

$$x=2$$