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

$$2 ( x + 1 ) - \frac { 1 - 3 x } { 2 } = 5 x + 1$$

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$4\left(x+1\right)-\left(1-3x\right)=10x+2$$

Use the distributive property to multiply 4 by x+1.

$$4x+4-\left(1-3x\right)=10x+2$$

To find the opposite of 1-3x, find the opposite of each term.

$$4x+4-1-\left(-3x\right)=10x+2$$

The opposite of -3x is 3x.

$$4x+4-1+3x=10x+2$$

Subtract 1 from 4 to get 3.

$$4x+3+3x=10x+2$$

Combine 4x and 3x to get 7x.

$$7x+3=10x+2$$

Subtract 10x from both sides.

$$7x+3-10x=2$$

Combine 7x and -10x to get -3x.

$$-3x+3=2$$

Subtract 3 from both sides.

$$-3x=2-3$$

Subtract 3 from 2 to get -1.

$$-3x=-1$$

Divide both sides by -3.

$$x=\frac{-1}{-3}$$

Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{3}$$