Solve 1-5(x-3)+3x-3*(3x-(5-x)-1)=-(1-5(x-3)+3x)*5

$$1-5(x-3)+3x-3 \times (3x-(5-x)-1)=-(1-5(x-3)+3x) \times 5$$

Solve for x

$$x = \frac{19}{4} = 4\frac{3}{4} = 4.75$$

Steps for Solving Linear Equation

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

$$1-5x+15+3x-3\left(3x-\left(5-x\right)-1\right)=\left(-\left(1-5\left(x-3\right)+3x\right)\right)\times 5$$

Add 1 and 15 to get 16.

$$16-5x+3x-3\left(3x-\left(5-x\right)-1\right)=\left(-\left(1-5\left(x-3\right)+3x\right)\right)\times 5$$

Combine -5x and 3x to get -2x.

$$16-2x-3\left(3x-\left(5-x\right)-1\right)=\left(-\left(1-5\left(x-3\right)+3x\right)\right)\times 5$$

To find the opposite of 5-x, find the opposite of each term.

$$16-2x-3\left(3x-5-\left(-x\right)-1\right)=\left(-\left(1-5\left(x-3\right)+3x\right)\right)\times 5$$

The opposite of -x is x.

$$16-2x-3\left(3x-5+x-1\right)=\left(-\left(1-5\left(x-3\right)+3x\right)\right)\times 5$$

Combine 3x and x to get 4x.

$$16-2x-3\left(4x-5-1\right)=\left(-\left(1-5\left(x-3\right)+3x\right)\right)\times 5$$

Subtract 1 from -5 to get -6.

$$16-2x-3\left(4x-6\right)=\left(-\left(1-5\left(x-3\right)+3x\right)\right)\times 5$$

Use the distributive property to multiply -3 by 4x-6.

$$16-2x-12x+18=\left(-\left(1-5\left(x-3\right)+3x\right)\right)\times 5$$

Combine -2x and -12x to get -14x.

$$16-14x+18=\left(-\left(1-5\left(x-3\right)+3x\right)\right)\times 5$$

Add 16 and 18 to get 34.

$$34-14x=\left(-\left(1-5\left(x-3\right)+3x\right)\right)\times 5$$

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

$$34-14x=\left(-\left(1-5x+15+3x\right)\right)\times 5$$

Add 1 and 15 to get 16.

$$34-14x=\left(-\left(16-5x+3x\right)\right)\times 5$$

Combine -5x and 3x to get -2x.

$$34-14x=\left(-\left(16-2x\right)\right)\times 5$$

To find the opposite of 16-2x, find the opposite of each term.

$$34-14x=\left(-16-\left(-2x\right)\right)\times 5$$

The opposite of -2x is 2x.

$$34-14x=\left(-16+2x\right)\times 5$$

Use the distributive property to multiply -16+2x by 5.

$$34-14x=-80+10x$$

Subtract 10x from both sides.

$$34-14x-10x=-80$$

Combine -14x and -10x to get -24x.

$$34-24x=-80$$

Subtract 34 from both sides.

$$-24x=-80-34$$

Subtract 34 from -80 to get -114.

$$-24x=-114$$

Divide both sides by -24.

$$x=\frac{-114}{-24}$$

Reduce the fraction \frac{-114}{-24} to lowest terms by extracting and canceling out -6.

$$x=\frac{19}{4}$$