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

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

Solve for x

$$x=-\frac{3}{11}\approx -0.272727273$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 2x+3.

$$x-10x-15=-2\left(-x+6\right)$$

Combine x and -10x to get -9x.

$$-9x-15=-2\left(-x+6\right)$$

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

$$-9x-15=-2\left(-x\right)-12$$

Multiply -2 and -1 to get 2.

$$-9x-15=2x-12$$

Subtract 2x from both sides.

$$-9x-15-2x=-12$$

Combine -9x and -2x to get -11x.

$$-11x-15=-12$$

Add 15 to both sides.

$$-11x=-12+15$$

Add -12 and 15 to get 3.

$$-11x=3$$

Divide both sides by -11.

$$x=\frac{3}{-11}$$

Fraction \frac{3}{-11} can be rewritten as -\frac{3}{11} by extracting the negative sign.

$$x=-\frac{3}{11}$$