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

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

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply -3 by -5x-1.

$$3x-3=2x+1+15x+3$$

Combine 2x and 15x to get 17x.

$$3x-3=17x+1+3$$

Add 1 and 3 to get 4.

$$3x-3=17x+4$$

Subtract 17x from both sides.

$$3x-3-17x=4$$

Combine 3x and -17x to get -14x.

$$-14x-3=4$$

Add 3 to both sides.

$$-14x=4+3$$

Add 4 and 3 to get 7.

$$-14x=7$$

Divide both sides by -14.

$$x=\frac{7}{-14}$$

Reduce the fraction \frac{7}{-14} to lowest terms by extracting and canceling out 7.

$$x=-\frac{1}{2}$$