Solve 1-[3*(x-1)-4x]+3x=5x-(4x+5)

$$1 - [ 3 \cdot ( x - 1 ) - 4 x ] + 3 x = 5 x - ( 4 x + 5 )$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-1.

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

Combine 3x and -4x to get -x.

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

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

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

The opposite of -x is x.

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

The opposite of -3 is 3.

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

Add 1 and 3 to get 4.

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

Combine x and 3x to get 4x.

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

To find the opposite of 4x+5, find the opposite of each term.

$$4+4x=5x-4x-5$$

Combine 5x and -4x to get x.

$$4+4x=x-5$$

Subtract x from both sides.

$$4+4x-x=-5$$

Combine 4x and -x to get 3x.

$$4+3x=-5$$

Subtract 4 from both sides.

$$3x=-5-4$$

Subtract 4 from -5 to get -9.

$$3x=-9$$

Divide both sides by 3.

$$x=\frac{-9}{3}$$

Divide -9 by 3 to get -3.

$$x=-3$$