Solve 7-11/4x+1/2x=10

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

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$4\left(7-\frac{1\times 4+1}{4}x\right)+2x=40$$

Multiply 1 and 4 to get 4.

$$4\left(7-\frac{4+1}{4}x\right)+2x=40$$

Add 4 and 1 to get 5.

$$4\left(7-\frac{5}{4}x\right)+2x=40$$

Use the distributive property to multiply 4 by 7-\frac{5}{4}x.

$$28+4\left(-\frac{5}{4}\right)x+2x=40$$

Cancel out 4 and 4.

$$28-5x+2x=40$$

Combine -5x and 2x to get -3x.

$$28-3x=40$$

Subtract 28 from both sides.

$$-3x=40-28$$

Subtract 28 from 40 to get 12.

$$-3x=12$$

Divide both sides by -3.

$$x=\frac{12}{-3}$$

Divide 12 by -3 to get -4.

$$x=-4$$