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

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

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x-5.

$$6x-15=1-\left(4-x\right)$$

To find the opposite of 4-x, find the opposite of each term.

$$6x-15=1-4-\left(-x\right)$$

The opposite of -x is x.

$$6x-15=1-4+x$$

Subtract 4 from 1 to get -3.

$$6x-15=-3+x$$

Subtract x from both sides.

$$6x-15-x=-3$$

Combine 6x and -x to get 5x.

$$5x-15=-3$$

Add 15 to both sides.

$$5x=-3+15$$

Add -3 and 15 to get 12.

$$5x=12$$

Divide both sides by 5.

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