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

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

Solve for x

$$x = -\frac{14}{11} = -1\frac{3}{11} \approx -1.272727273$$

Steps for Solving Linear Equation

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

$$2x+10=2-3\left(2+3x\right)$$

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

$$2x+10=2-6-9x$$

Subtract 6 from 2 to get -4.

$$2x+10=-4-9x$$

Add 9x to both sides.

$$2x+10+9x=-4$$

Combine 2x and 9x to get 11x.

$$11x+10=-4$$

Subtract 10 from both sides.

$$11x=-4-10$$

Subtract 10 from -4 to get -14.

$$11x=-14$$

Divide both sides by 11.

$$x=\frac{-14}{11}$$

Fraction \frac{-14}{11} can be rewritten as -\frac{14}{11} by extracting the negative sign.

$$x=-\frac{14}{11}$$