Solve -2(6x-5)=3(5-3x)+12

$$- 2 ( 6 x - 5 ) = 3 ( 5 - 3 x ) + 12$$

Solve for x

$$x = -\frac{17}{3} = -5\frac{2}{3} \approx -5.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 6x-5.

$$-12x+10=3\left(5-3x\right)+12$$

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

$$-12x+10=15-9x+12$$

Add 15 and 12 to get 27.

$$-12x+10=27-9x$$

Add 9x to both sides.

$$-12x+10+9x=27$$

Combine -12x and 9x to get -3x.

$$-3x+10=27$$

Subtract 10 from both sides.

$$-3x=27-10$$

Subtract 10 from 27 to get 17.

$$-3x=17$$

Divide both sides by -3.

$$x=\frac{17}{-3}$$

Fraction \frac{17}{-3} can be rewritten as -\frac{17}{3} by extracting the negative sign.

$$x=-\frac{17}{3}$$