Solve 4-6(x+6)=5(x-1)-23x

$$4-6(x+6)=5(x-1)-23x$$

Solve for x

$$x = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

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

$$4-6x-36=5\left(x-1\right)-23x$$

Subtract 36 from 4 to get -32.

$$-32-6x=5\left(x-1\right)-23x$$

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

$$-32-6x=5x-5-23x$$

Combine 5x and -23x to get -18x.

$$-32-6x=-18x-5$$

Add 18x to both sides.

$$-32-6x+18x=-5$$

Combine -6x and 18x to get 12x.

$$-32+12x=-5$$

Add 32 to both sides.

$$12x=-5+32$$

Add -5 and 32 to get 27.

$$12x=27$$

Divide both sides by 12.

$$x=\frac{27}{12}$$

Reduce the fraction \frac{27}{12} to lowest terms by extracting and canceling out 3.

$$x=\frac{9}{4}$$