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

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

Solve for x

$$x = \frac{191}{64} = 2\frac{63}{64} = 2.984375$$

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 -64x.

$$315-64x-18=106$$

Subtract 18 from 315 to get 297.

$$297-64x=106$$

Subtract 297 from both sides.

$$-64x=106-297$$

Subtract 297 from 106 to get -191.

$$-64x=-191$$

Divide both sides by -64.

$$x=\frac{-191}{-64}$$

Fraction \frac{-191}{-64} can be simplified to \frac{191}{64} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{191}{64}$$