Solve {l}{text{Resulvelassigulentesecuaciones.}}{text{a)}5x-4(3x-1)-(6x+1)=5(3x+12)-1}

$$\left. \begin{array} { l } { \text { Resulve las sigulentes ecuaciones. } } \\ { \text { a) } 5 x - 4 ( 3 x - 1 ) - ( 6 x + 1 ) = 5 ( 3 x + 12 ) - 1 } \end{array} \right.$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 3x-1.

$$5x-12x+4-\left(6x+1\right)=5\left(3x+12\right)-1$$

Combine 5x and -12x to get -7x.

$$-7x+4-\left(6x+1\right)=5\left(3x+12\right)-1$$

To find the opposite of 6x+1, find the opposite of each term.

$$-7x+4-6x-1=5\left(3x+12\right)-1$$

Combine -7x and -6x to get -13x.

$$-13x+4-1=5\left(3x+12\right)-1$$

Subtract 1 from 4 to get 3.

$$-13x+3=5\left(3x+12\right)-1$$

Use the distributive property to multiply 5 by 3x+12.

$$-13x+3=15x+60-1$$

Subtract 1 from 60 to get 59.

$$-13x+3=15x+59$$

Subtract 15x from both sides.

$$-13x+3-15x=59$$

Combine -13x and -15x to get -28x.

$$-28x+3=59$$

Subtract 3 from both sides.

$$-28x=59-3$$

Subtract 3 from 59 to get 56.

$$-28x=56$$

Divide both sides by -28.

$$x=\frac{56}{-28}$$

Divide 56 by -28 to get -2.

$$x=-2$$