Solve 8x+9(2-3x)=-6(2x+5)

$$8 x + 9 ( 2 - 3 x ) = - 6 ( 2 x + 5 )$$

Solve for x

$$x = \frac{48}{7} = 6\frac{6}{7} \approx 6.857142857$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by 2-3x.

$$8x+18-27x=-6\left(2x+5\right)$$

Combine 8x and -27x to get -19x.

$$-19x+18=-6\left(2x+5\right)$$

Use the distributive property to multiply -6 by 2x+5.

$$-19x+18=-12x-30$$

Add 12x to both sides.

$$-19x+18+12x=-30$$

Combine -19x and 12x to get -7x.

$$-7x+18=-30$$

Subtract 18 from both sides.

$$-7x=-30-18$$

Subtract 18 from -30 to get -48.

$$-7x=-48$$

Divide both sides by -7.

$$x=\frac{-48}{-7}$$

Fraction \frac{-48}{-7} can be simplified to \frac{48}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{48}{7}$$