Solve (2)x+1/2-4-3x/8=1

$$( 2 ) \frac { x + 1 } { 2 } - \frac { 4 - 3 x } { 8 } = 1$$

Solve for x

$$x=\frac{4}{11}\approx 0.363636364$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,8.

$$8\left(x+1\right)-\left(4-3x\right)=8$$

Use the distributive property to multiply 8 by x+1.

$$8x+8-\left(4-3x\right)=8$$

To find the opposite of 4-3x, find the opposite of each term.

$$8x+8-4-\left(-3x\right)=8$$

The opposite of -3x is 3x.

$$8x+8-4+3x=8$$

Subtract 4 from 8 to get 4.

$$8x+4+3x=8$$

Combine 8x and 3x to get 11x.

$$11x+4=8$$

Subtract 4 from both sides.

$$11x=8-4$$

Subtract 4 from 8 to get 4.

$$11x=4$$

Divide both sides by 11.

$$x=\frac{4}{11}$$