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

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

Solve for x

$$x = \frac{12}{5} = 2\frac{2}{5} = 2.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 2-x.

$$12-6x+4=1-\left(x-3\right)$$

Add 12 and 4 to get 16.

$$16-6x=1-\left(x-3\right)$$

To find the opposite of x-3, find the opposite of each term.

$$16-6x=1-x-\left(-3\right)$$

The opposite of -3 is 3.

$$16-6x=1-x+3$$

Add 1 and 3 to get 4.

$$16-6x=4-x$$

Add x to both sides.

$$16-6x+x=4$$

Combine -6x and x to get -5x.

$$16-5x=4$$

Subtract 16 from both sides.

$$-5x=4-16$$

Subtract 16 from 4 to get -12.

$$-5x=-12$$

Divide both sides by -5.

$$x=\frac{-12}{-5}$$

Fraction \frac{-12}{-5} can be simplified to \frac{12}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{12}{5}$$