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

$$2 \times (x-2)-3 \times (1x)=2 \times (x-4)$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

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

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

Multiply 3 and 1 to get 3.

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

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

$$-x-4=2\left(x-4\right)$$

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

$$-x-4=2x-8$$

Subtract 2x from both sides.

$$-x-4-2x=-8$$

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

$$-3x-4=-8$$

Add 4 to both sides.

$$-3x=-8+4$$

Add -8 and 4 to get -4.

$$-3x=-4$$

Divide both sides by -3.

$$x=\frac{-4}{-3}$$

Fraction \frac{-4}{-3} can be simplified to \frac{4}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{4}{3}$$