Solve 1/2+7x-3/2-4x=-1+6+4x+10

$$\frac { 1 } { 2 } + 7 x - \frac { 3 } { 2 } - 4 x = - 1 + 6 + 4 x + 10$$

Solve for x

$$x=-16$$

Steps for Solving Linear Equation

Since \frac{1}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-3}{2}+7x-4x=-1+6+4x+10$$

Subtract 3 from 1 to get -2.

$$\frac{-2}{2}+7x-4x=-1+6+4x+10$$

Divide -2 by 2 to get -1.

$$-1+7x-4x=-1+6+4x+10$$

Combine 7x and -4x to get 3x.

$$-1+3x=-1+6+4x+10$$

Add -1 and 6 to get 5.

$$-1+3x=5+4x+10$$

Add 5 and 10 to get 15.

$$-1+3x=15+4x$$

Subtract 4x from both sides.

$$-1+3x-4x=15$$

Combine 3x and -4x to get -x.

$$-1-x=15$$

Add 1 to both sides.

$$-x=15+1$$

Add 15 and 1 to get 16.

$$-x=16$$

Multiply both sides by -1.

$$x=-16$$