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

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

Solve for x

$$x = -\frac{27}{7} = -3\frac{6}{7} \approx -3.857142857$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x-1.

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

Combine 6x and 6x to get 12x.

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

Use the distributive property to multiply 5 by x-6.

$$12x-3=5x-30$$

Subtract 5x from both sides.

$$12x-3-5x=-30$$

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

$$7x-3=-30$$

Add 3 to both sides.

$$7x=-30+3$$

Add -30 and 3 to get -27.

$$7x=-27$$

Divide both sides by 7.

$$x=\frac{-27}{7}$$

Fraction \frac{-27}{7} can be rewritten as -\frac{27}{7} by extracting the negative sign.

$$x=-\frac{27}{7}$$