Solve 7x+(2x-6+5x)=-4(3x-42)

$$7 x + ( 2 x - 6 + 5 x ) = - 4 ( 3 x - 42 )$$

Solve for x

$$x = \frac{87}{13} = 6\frac{9}{13} \approx 6.692307692$$

Steps for Solving Linear Equation

Combine 7x and 2x to get 9x.

$$9x-6+5x=-4\left(3x-42\right)$$

Combine 9x and 5x to get 14x.

$$14x-6=-4\left(3x-42\right)$$

Use the distributive property to multiply -4 by 3x-42.

$$14x-6=-12x+168$$

Add 12x to both sides.

$$14x-6+12x=168$$

Combine 14x and 12x to get 26x.

$$26x-6=168$$

Add 6 to both sides.

$$26x=168+6$$

Add 168 and 6 to get 174.

$$26x=174$$

Divide both sides by 26.

$$x=\frac{174}{26}$$

Reduce the fraction \frac{174}{26} to lowest terms by extracting and canceling out 2.

$$x=\frac{87}{13}$$