Solve x/3*3+x/4*4+x/6-x5+(x/4-8)*2=504

$$\frac { x } { 3 } \times 3 + \frac { x } { 4 } \times 4 + \frac { x } { 6 } - x 5 + ( \frac { x } { 4 } - 8 ) \cdot 2 = 504$$

Solve for x

$$x=\frac{3\left(x_{5}+520\right)}{8}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4,6.

$$4x\times 3+3x\times 4+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Multiply 4 and 3 to get 12.

$$12x+3x\times 4+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Multiply 3 and 4 to get 12.

$$12x+12x+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Combine 12x and 12x to get 24x.

$$24x+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Combine 24x and 2x to get 26x.

$$26x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Multiply 12 and 2 to get 24.

$$26x-12x_{5}+24\left(\frac{x}{4}-8\right)=6048$$

Use the distributive property to multiply 24 by \frac{x}{4}-8.

$$26x-12x_{5}+24\times \frac{x}{4}-192=6048$$

Cancel out 4, the greatest common factor in 24 and 4.

$$26x-12x_{5}+6x-192=6048$$

Combine 26x and 6x to get 32x.

$$32x-12x_{5}-192=6048$$

Add 12x_{5} to both sides.

$$32x-192=6048+12x_{5}$$

Add 192 to both sides.

$$32x=6048+12x_{5}+192$$

Add 6048 and 192 to get 6240.

$$32x=6240+12x_{5}$$

The equation is in standard form.

$$32x=12x_{5}+6240$$

Divide both sides by 32.

$$\frac{32x}{32}=\frac{12x_{5}+6240}{32}$$

Dividing by 32 undoes the multiplication by 32.

$$x=\frac{12x_{5}+6240}{32}$$

Divide 6240+12x_{5} by 32.

$$x=\frac{3x_{5}}{8}+195$$

Solve for x_5

$$x_{5}=\frac{8\left(x-195\right)}{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4,6.

$$4x\times 3+3x\times 4+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Multiply 4 and 3 to get 12.

$$12x+3x\times 4+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Multiply 3 and 4 to get 12.

$$12x+12x+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Combine 12x and 12x to get 24x.

$$24x+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Combine 24x and 2x to get 26x.

$$26x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Multiply 12 and 2 to get 24.

$$26x-12x_{5}+24\left(\frac{x}{4}-8\right)=6048$$

Use the distributive property to multiply 24 by \frac{x}{4}-8.

$$26x-12x_{5}+24\times \frac{x}{4}-192=6048$$

Cancel out 4, the greatest common factor in 24 and 4.

$$26x-12x_{5}+6x-192=6048$$

Combine 26x and 6x to get 32x.

$$32x-12x_{5}-192=6048$$

Subtract 32x from both sides.

$$-12x_{5}-192=6048-32x$$

Add 192 to both sides.

$$-12x_{5}=6048-32x+192$$

Add 6048 and 192 to get 6240.

$$-12x_{5}=6240-32x$$

Divide both sides by -12.

$$\frac{-12x_{5}}{-12}=\frac{6240-32x}{-12}$$

Dividing by -12 undoes the multiplication by -12.

$$x_{5}=\frac{6240-32x}{-12}$$

Divide 6240-32x by -12.

$$x_{5}=\frac{8x}{3}-520$$