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

$$- 5 ( \frac { - 3 } { 6 } + 2 x ) = - ( - 3 ( 6 x + 5 ) ) - 6 x$$

Solve for x

$$x=-\frac{25}{44}\approx -0.568181818$$

Steps for Solving Linear Equation

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

$$-5\left(-\frac{1}{2}+2x\right)=-\left(-3\left(6x+5\right)\right)-6x$$

Use the distributive property to multiply -5 by -\frac{1}{2}+2x.

$$-5\left(-\frac{1}{2}\right)-10x=-\left(-3\left(6x+5\right)\right)-6x$$

Express -5\left(-\frac{1}{2}\right) as a single fraction.

$$\frac{-5\left(-1\right)}{2}-10x=-\left(-3\left(6x+5\right)\right)-6x$$

Multiply -5 and -1 to get 5.

$$\frac{5}{2}-10x=-\left(-3\left(6x+5\right)\right)-6x$$

Use the distributive property to multiply -3 by 6x+5.

$$\frac{5}{2}-10x=-\left(-18x-15\right)-6x$$

To find the opposite of -18x-15, find the opposite of each term.

$$\frac{5}{2}-10x=-\left(-18x\right)-\left(-15\right)-6x$$

The opposite of -18x is 18x.

$$\frac{5}{2}-10x=18x-\left(-15\right)-6x$$

The opposite of -15 is 15.

$$\frac{5}{2}-10x=18x+15-6x$$

Combine 18x and -6x to get 12x.

$$\frac{5}{2}-10x=12x+15$$

Subtract 12x from both sides.

$$\frac{5}{2}-10x-12x=15$$

Combine -10x and -12x to get -22x.

$$\frac{5}{2}-22x=15$$

Subtract \frac{5}{2} from both sides.

$$-22x=15-\frac{5}{2}$$

Convert 15 to fraction \frac{30}{2}.

$$-22x=\frac{30}{2}-\frac{5}{2}$$

Since \frac{30}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$-22x=\frac{30-5}{2}$$

Subtract 5 from 30 to get 25.

$$-22x=\frac{25}{2}$$

Divide both sides by -22.

$$x=\frac{\frac{25}{2}}{-22}$$

Express \frac{\frac{25}{2}}{-22} as a single fraction.

$$x=\frac{25}{2\left(-22\right)}$$

Multiply 2 and -22 to get -44.

$$x=\frac{25}{-44}$$

Fraction \frac{25}{-44} can be rewritten as -\frac{25}{44} by extracting the negative sign.

$$x=-\frac{25}{44}$$