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

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

Solve for x

$$x=7$$

Steps for Solving Linear Equation

To find the opposite of 2x+5, find the opposite of each term.

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

Combine x and -2x to get -x.

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

Use the distributive property to multiply -5 by 1-2x.

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

Subtract 5 from -5 to get -10.

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

Combine -x and 10x to get 9x.

$$9x-10=2\left(3+4x\right)-3\left(x-4\right)$$

Use the distributive property to multiply 2 by 3+4x.

$$9x-10=6+8x-3\left(x-4\right)$$

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

$$9x-10=6+8x-3x+12$$

Combine 8x and -3x to get 5x.

$$9x-10=6+5x+12$$

Add 6 and 12 to get 18.

$$9x-10=18+5x$$

Subtract 5x from both sides.

$$9x-10-5x=18$$

Combine 9x and -5x to get 4x.

$$4x-10=18$$

Add 10 to both sides.

$$4x=18+10$$

Add 18 and 10 to get 28.

$$4x=28$$

Divide both sides by 4.

$$x=\frac{28}{4}$$

Divide 28 by 4 to get 7.

$$x=7$$