Solve x-4/2+2x+7/10=3x-1/5

$$\frac{ x-4 }{ 2 } + \frac{ 2x+7 }{ 10 } = \frac{ 3x-1 }{ 5 }$$

Solve for x

$$x=11$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,10,5.

$$5\left(x-4\right)+2x+7=2\left(3x-1\right)$$

Use the distributive property to multiply 5 by x-4.

$$5x-20+2x+7=2\left(3x-1\right)$$

Combine 5x and 2x to get 7x.

$$7x-20+7=2\left(3x-1\right)$$

Add -20 and 7 to get -13.

$$7x-13=2\left(3x-1\right)$$

Use the distributive property to multiply 2 by 3x-1.

$$7x-13=6x-2$$

Subtract 6x from both sides.

$$7x-13-6x=-2$$

Combine 7x and -6x to get x.

$$x-13=-2$$

Add 13 to both sides.

$$x=-2+13$$

Add -2 and 13 to get 11.

$$x=11$$