Solve 8x-9*2/7+3x=5left(72-5xright)-6*7

$$\frac{ 8x-9 \cdot 2 }{ 7 } +3x = 5 \left( 72-5x \right) -6 \cdot 7$$

Solve for x

$$x=11$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7.

$$8x-9\times 2+21x=35\left(72-5x\right)-42\times 7$$

Multiply 9 and 2 to get 18.

$$8x-18+21x=35\left(72-5x\right)-42\times 7$$

Combine 8x and 21x to get 29x.

$$29x-18=35\left(72-5x\right)-42\times 7$$

Use the distributive property to multiply 35 by 72-5x.

$$29x-18=2520-175x-42\times 7$$

Multiply 42 and 7 to get 294.

$$29x-18=2520-175x-294$$

Subtract 294 from 2520 to get 2226.

$$29x-18=2226-175x$$

Add 175x to both sides.

$$29x-18+175x=2226$$

Combine 29x and 175x to get 204x.

$$204x-18=2226$$

Add 18 to both sides.

$$204x=2226+18$$

Add 2226 and 18 to get 2244.

$$204x=2244$$

Divide both sides by 204.

$$x=\frac{2244}{204}$$

Divide 2244 by 204 to get 11.

$$x=11$$