Solve 35left(6-2x+3right)-6left(x-3right)=106

$$35 \left( 6-2x+3 \right) -6 \left( x-3 \right) = 106$$

Solve for x

$$x = \frac{227}{76} = 2\frac{75}{76} \approx 2.986842105$$

Steps for Solving Linear Equation

Add 6 and 3 to get 9.

$$35\left(9-2x\right)-6\left(x-3\right)=106$$

Use the distributive property to multiply 35 by 9-2x.

$$315-70x-6\left(x-3\right)=106$$

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

$$315-70x-6x+18=106$$

Combine -70x and -6x to get -76x.

$$315-76x+18=106$$

Add 315 and 18 to get 333.

$$333-76x=106$$

Subtract 333 from both sides.

$$-76x=106-333$$

Subtract 333 from 106 to get -227.

$$-76x=-227$$

Divide both sides by -76.

$$x=\frac{-227}{-76}$$

Fraction \frac{-227}{-76} can be simplified to \frac{227}{76} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{227}{76}$$