Solve 8-2x/3+5-2x/7+4=5-(8x-6)+1/2

$$\frac{ 8-2x }{ 3 } + \frac{ 5-2x }{ 7 } +4=5-(8x-6)+ \frac{ 1 }{ 2 }$$

Solve for x

$$x=\frac{173}{296}\approx 0.584459459$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 42, the least common multiple of 3,7,2.

$$14\left(8-2x\right)+6\left(5-2x\right)+168=210-42\left(8x-6\right)+21$$

Use the distributive property to multiply 14 by 8-2x.

$$112-28x+6\left(5-2x\right)+168=210-42\left(8x-6\right)+21$$

Use the distributive property to multiply 6 by 5-2x.

$$112-28x+30-12x+168=210-42\left(8x-6\right)+21$$

Add 112 and 30 to get 142.

$$142-28x-12x+168=210-42\left(8x-6\right)+21$$

Combine -28x and -12x to get -40x.

$$142-40x+168=210-42\left(8x-6\right)+21$$

Add 142 and 168 to get 310.

$$310-40x=210-42\left(8x-6\right)+21$$

Use the distributive property to multiply -42 by 8x-6.

$$310-40x=210-336x+252+21$$

Add 210 and 252 to get 462.

$$310-40x=462-336x+21$$

Add 462 and 21 to get 483.

$$310-40x=483-336x$$

Add 336x to both sides.

$$310-40x+336x=483$$

Combine -40x and 336x to get 296x.

$$310+296x=483$$

Subtract 310 from both sides.

$$296x=483-310$$

Subtract 310 from 483 to get 173.

$$296x=173$$

Divide both sides by 296.

$$x=\frac{173}{296}$$