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

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

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

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

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

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

Subtract 5 from 6 to get 1.

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

Combine 2x and 5x to get 7x.

$$7x+1=3\left(x-1\right)$$

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

$$7x+1=3x-3$$

Subtract 3x from both sides.

$$7x+1-3x=-3$$

Combine 7x and -3x to get 4x.

$$4x+1=-3$$

Subtract 1 from both sides.

$$4x=-3-1$$

Subtract 1 from -3 to get -4.

$$4x=-4$$

Divide both sides by 4.

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

Divide -4 by 4 to get -1.

$$x=-1$$