Solve 3(x-6)-8x=-2+5(2x+1)

$$3 ( x - 6 ) - 8 x = - 2 + 5 ( 2 x + 1 )$$

Solve for x

$$x = -\frac{7}{5} = -1\frac{2}{5} = -1.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-6.

$$3x-18-8x=-2+5\left(2x+1\right)$$

Combine 3x and -8x to get -5x.

$$-5x-18=-2+5\left(2x+1\right)$$

Use the distributive property to multiply 5 by 2x+1.

$$-5x-18=-2+10x+5$$

Add -2 and 5 to get 3.

$$-5x-18=3+10x$$

Subtract 10x from both sides.

$$-5x-18-10x=3$$

Combine -5x and -10x to get -15x.

$$-15x-18=3$$

Add 18 to both sides.

$$-15x=3+18$$

Add 3 and 18 to get 21.

$$-15x=21$$

Divide both sides by -15.

$$x=\frac{21}{-15}$$

Reduce the fraction \frac{21}{-15} to lowest terms by extracting and canceling out 3.

$$x=-\frac{7}{5}$$