Solve 2x-3(x-2)=5-4(3x-1)

$$2x-3(x-2)=5-4(3x-1)$$

Solve for x

$$x=\frac{3}{11}\approx 0.272727273$$

Steps for Solving Linear Equation

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

$$2x-3x+6=5-4\left(3x-1\right)$$

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

$$-x+6=5-4\left(3x-1\right)$$

Use the distributive property to multiply -4 by 3x-1.

$$-x+6=5-12x+4$$

Add 5 and 4 to get 9.

$$-x+6=9-12x$$

Add 12x to both sides.

$$-x+6+12x=9$$

Combine -x and 12x to get 11x.

$$11x+6=9$$

Subtract 6 from both sides.

$$11x=9-6$$

Subtract 6 from 9 to get 3.

$$11x=3$$

Divide both sides by 11.

$$x=\frac{3}{11}$$