Solve (4+x)/3+4=(x-6)/2-6

$$\frac { ( 4 + x ) } { 3 } + 4 = \frac { ( x - 6 ) } { 2 } - 6$$

Solve for x

$$x=86$$

Steps for Solving Linear Equation

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

$$2\left(4+x\right)+24=3\left(x-6\right)-36$$

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

$$8+2x+24=3\left(x-6\right)-36$$

Add 8 and 24 to get 32.

$$32+2x=3\left(x-6\right)-36$$

Use the distributive property to multiply 3 by x-6.

$$32+2x=3x-18-36$$

Subtract 36 from -18 to get -54.

$$32+2x=3x-54$$

Subtract 3x from both sides.

$$32+2x-3x=-54$$

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

$$32-x=-54$$

Subtract 32 from both sides.

$$-x=-54-32$$

Subtract 32 from -54 to get -86.

$$-x=-86$$

Multiply both sides by -1.

$$x=86$$