Solve (22*4-3x)div11+x-2=(5x-100)*3+6*2

$$(22 \times 4-3x) \div 11+x-2=(5x-100) \times 3+6 \times 2$$

Solve for x

$$x = \frac{3234}{157} = 20\frac{94}{157} \approx 20.598726115$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 11.

$$22\times 4-3x+11x-22=11\left(5x-100\right)\times 3+66\times 2$$

Multiply 22 and 4 to get 88.

$$88-3x+11x-22=11\left(5x-100\right)\times 3+66\times 2$$

Combine -3x and 11x to get 8x.

$$88+8x-22=11\left(5x-100\right)\times 3+66\times 2$$

Subtract 22 from 88 to get 66.

$$66+8x=11\left(5x-100\right)\times 3+66\times 2$$

Multiply 11 and 3 to get 33.

$$66+8x=33\left(5x-100\right)+66\times 2$$

Use the distributive property to multiply 33 by 5x-100.

$$66+8x=165x-3300+66\times 2$$

Multiply 66 and 2 to get 132.

$$66+8x=165x-3300+132$$

Add -3300 and 132 to get -3168.

$$66+8x=165x-3168$$

Subtract 165x from both sides.

$$66+8x-165x=-3168$$

Combine 8x and -165x to get -157x.

$$66-157x=-3168$$

Subtract 66 from both sides.

$$-157x=-3168-66$$

Subtract 66 from -3168 to get -3234.

$$-157x=-3234$$

Divide both sides by -157.

$$x=\frac{-3234}{-157}$$

Fraction \frac{-3234}{-157} can be simplified to \frac{3234}{157} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3234}{157}$$