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

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

Solve for x

$$x=-\frac{5}{9}\approx -0.555555556$$

Steps for Solving Linear Equation

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

$$-3x-6=5x-6+2\left(5x+5\right)$$

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

$$-3x-6=5x-6+10x+10$$

Combine 5x and 10x to get 15x.

$$-3x-6=15x-6+10$$

Add -6 and 10 to get 4.

$$-3x-6=15x+4$$

Subtract 15x from both sides.

$$-3x-6-15x=4$$

Combine -3x and -15x to get -18x.

$$-18x-6=4$$

Add 6 to both sides.

$$-18x=4+6$$

Add 4 and 6 to get 10.

$$-18x=10$$

Divide both sides by -18.

$$x=\frac{10}{-18}$$

Reduce the fraction \frac{10}{-18} to lowest terms by extracting and canceling out 2.

$$x=-\frac{5}{9}$$