Solve (4-7(x+6)=(5(x-1)-30x)

$$(4-7(x+6)=(5(x-1)-30x)$$

Solve for x

$$x = \frac{11}{6} = 1\frac{5}{6} \approx 1.833333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by x+6.

$$4-7x-42=5\left(x-1\right)-30x$$

Subtract 42 from 4 to get -38.

$$-38-7x=5\left(x-1\right)-30x$$

Use the distributive property to multiply 5 by x-1.

$$-38-7x=5x-5-30x$$

Combine 5x and -30x to get -25x.

$$-38-7x=-25x-5$$

Add 25x to both sides.

$$-38-7x+25x=-5$$

Combine -7x and 25x to get 18x.

$$-38+18x=-5$$

Add 38 to both sides.

$$18x=-5+38$$

Add -5 and 38 to get 33.

$$18x=33$$

Divide both sides by 18.

$$x=\frac{33}{18}$$

Reduce the fraction \frac{33}{18} to lowest terms by extracting and canceling out 3.

$$x=\frac{11}{6}$$