Solve 6(x+6)=-3(5x-7)+3x

$$6(x+6)=-3(5x-7)+3x$$

Solve for x

$$x=-\frac{5}{6}\approx -0.833333333$$

Steps for Solving Linear Equation

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

$$6x+36=-3\left(5x-7\right)+3x$$

Use the distributive property to multiply -3 by 5x-7.

$$6x+36=-15x+21+3x$$

Combine -15x and 3x to get -12x.

$$6x+36=-12x+21$$

Add 12x to both sides.

$$6x+36+12x=21$$

Combine 6x and 12x to get 18x.

$$18x+36=21$$

Subtract 36 from both sides.

$$18x=21-36$$

Subtract 36 from 21 to get -15.

$$18x=-15$$

Divide both sides by 18.

$$x=\frac{-15}{18}$$

Reduce the fraction \frac{-15}{18} to lowest terms by extracting and canceling out 3.

$$x=-\frac{5}{6}$$