Solve 2(6x-8)+x=6(2x+9)+18x

$$2 ( 6 x - 8 ) + x = 6 ( 2 x + 9 ) + 18 x$$

Solve for x

$$x = -\frac{70}{17} = -4\frac{2}{17} \approx -4.117647059$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 6x-8.

$$12x-16+x=6\left(2x+9\right)+18x$$

Combine 12x and x to get 13x.

$$13x-16=6\left(2x+9\right)+18x$$

Use the distributive property to multiply 6 by 2x+9.

$$13x-16=12x+54+18x$$

Combine 12x and 18x to get 30x.

$$13x-16=30x+54$$

Subtract 30x from both sides.

$$13x-16-30x=54$$

Combine 13x and -30x to get -17x.

$$-17x-16=54$$

Add 16 to both sides.

$$-17x=54+16$$

Add 54 and 16 to get 70.

$$-17x=70$$

Divide both sides by -17.

$$x=\frac{70}{-17}$$

Fraction \frac{70}{-17} can be rewritten as -\frac{70}{17} by extracting the negative sign.

$$x=-\frac{70}{17}$$