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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 4,8.

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

Multiply 2 and 2 to get 4.

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

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

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

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

$$4x-4=2x+6$$

Subtract 2x from both sides.

$$4x-4-2x=6$$

Combine 4x and -2x to get 2x.

$$2x-4=6$$

Add 4 to both sides.

$$2x=6+4$$

Add 6 and 4 to get 10.

$$2x=10$$

Divide both sides by 2.

$$x=\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$x=5$$