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

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

Solve for x

$$x = \frac{13}{7} = 1\frac{6}{7} \approx 1.857142857$$

Steps for Solving Linear Equation

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

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

Combine 2x and -3x to get -x.

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

Add -1 and 6 to get 5.

$$-x+5=6+4\left(3-2x\right)$$

Use the distributive property to multiply 4 by 3-2x.

$$-x+5=6+12-8x$$

Add 6 and 12 to get 18.

$$-x+5=18-8x$$

Add 8x to both sides.

$$-x+5+8x=18$$

Combine -x and 8x to get 7x.

$$7x+5=18$$

Subtract 5 from both sides.

$$7x=18-5$$

Subtract 5 from 18 to get 13.

$$7x=13$$

Divide both sides by 7.

$$x=\frac{13}{7}$$