Solve 2(3+x)+3(x+7)=24x+6

$$2 ( 3 + x ) + 3 ( x + 7 ) = 24 x + 6$$

Solve for x

$$x = \frac{21}{19} = 1\frac{2}{19} \approx 1.105263158$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3+x.

$$6+2x+3\left(x+7\right)=24x+6$$

Use the distributive property to multiply 3 by x+7.

$$6+2x+3x+21=24x+6$$

Combine 2x and 3x to get 5x.

$$6+5x+21=24x+6$$

Add 6 and 21 to get 27.

$$27+5x=24x+6$$

Subtract 24x from both sides.

$$27+5x-24x=6$$

Combine 5x and -24x to get -19x.

$$27-19x=6$$

Subtract 27 from both sides.

$$-19x=6-27$$

Subtract 27 from 6 to get -21.

$$-19x=-21$$

Divide both sides by -19.

$$x=\frac{-21}{-19}$$

Fraction \frac{-21}{-19} can be simplified to \frac{21}{19} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{21}{19}$$