Solve 2x-4/3=3-4+x/2

$$\frac { 2 x - 4 } { 3 } = 3 - \frac { 4 + x } { 2 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\left(2x-4\right)=18-3\left(4+x\right)$$

Use the distributive property to multiply 2 by 2x-4.

$$4x-8=18-3\left(4+x\right)$$

Use the distributive property to multiply -3 by 4+x.

$$4x-8=18-12-3x$$

Subtract 12 from 18 to get 6.

$$4x-8=6-3x$$

Add 3x to both sides.

$$4x-8+3x=6$$

Combine 4x and 3x to get 7x.

$$7x-8=6$$

Add 8 to both sides.

$$7x=6+8$$

Add 6 and 8 to get 14.

$$7x=14$$

Divide both sides by 7.

$$x=\frac{14}{7}$$

Divide 14 by 7 to get 2.

$$x=2$$