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

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

Solve for x

$$x=-\frac{3}{13}\approx -0.230769231$$

Steps for Solving Linear Equation

Subtract 1 from 3 to get 2.

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

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

$$10x+10-2\left(-x+5-3\right)+x-1=2$$

Subtract 3 from 5 to get 2.

$$10x+10-2\left(-x+2\right)+x-1=2$$

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

$$10x+10-2\left(-x\right)-4+x-1=2$$

Multiply -2 and -1 to get 2.

$$10x+10+2x-4+x-1=2$$

Combine 10x and 2x to get 12x.

$$12x+10-4+x-1=2$$

Subtract 4 from 10 to get 6.

$$12x+6+x-1=2$$

Combine 12x and x to get 13x.

$$13x+6-1=2$$

Subtract 1 from 6 to get 5.

$$13x+5=2$$

Subtract 5 from both sides.

$$13x=2-5$$

Subtract 5 from 2 to get -3.

$$13x=-3$$

Divide both sides by 13.

$$x=\frac{-3}{13}$$

Fraction \frac{-3}{13} can be rewritten as -\frac{3}{13} by extracting the negative sign.

$$x=-\frac{3}{13}$$