Solve (3x+5)-(2x-4)=(-x-4)-(10-1x)

$$( 3 x + 5 ) - ( 2 x - 4 ) = ( - x - 4 ) - ( 10 - 1 x )$$

Solve for x

$$x=-23$$

Steps for Solving Linear Equation

To find the opposite of 2x-4, find the opposite of each term.

$$3x+5-2x-\left(-4\right)=-x-4-\left(10-x\right)$$

The opposite of -4 is 4.

$$3x+5-2x+4=-x-4-\left(10-x\right)$$

Combine 3x and -2x to get x.

$$x+5+4=-x-4-\left(10-x\right)$$

Add 5 and 4 to get 9.

$$x+9=-x-4-\left(10-x\right)$$

To find the opposite of 10-x, find the opposite of each term.

$$x+9=-x-4-10-\left(-x\right)$$

The opposite of -x is x.

$$x+9=-x-4-10+x$$

Subtract 10 from -4 to get -14.

$$x+9=-x-14+x$$

Add x to both sides.

$$x+9+x=-14+x$$

Combine x and x to get 2x.

$$2x+9=-14+x$$

Subtract x from both sides.

$$2x+9-x=-14$$

Combine 2x and -x to get x.

$$x+9=-14$$

Subtract 9 from both sides.

$$x=-14-9$$

Subtract 9 from -14 to get -23.

$$x=-23$$