Solve 2x-5x-6/2=1/2(x-5)-5x

$$2x- \frac{ 5x-6 }{ 2 } = \frac{ 1 }{ 2 } (x-5)-5x$$

Solve for x

$$x = -\frac{11}{8} = -1\frac{3}{8} = -1.375$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$4x-\left(5x-6\right)=1\left(x-5\right)-10x$$

To find the opposite of 5x-6, find the opposite of each term.

$$4x-5x-\left(-6\right)=1\left(x-5\right)-10x$$

The opposite of -6 is 6.

$$4x-5x+6=1\left(x-5\right)-10x$$

Combine 4x and -5x to get -x.

$$-x+6=1\left(x-5\right)-10x$$

Use the distributive property to multiply 1 by x-5.

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

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

$$-x+6=-9x-5$$

Add 9x to both sides.

$$-x+6+9x=-5$$

Combine -x and 9x to get 8x.

$$8x+6=-5$$

Subtract 6 from both sides.

$$8x=-5-6$$

Subtract 6 from -5 to get -11.

$$8x=-11$$

Divide both sides by 8.

$$x=\frac{-11}{8}$$

Fraction \frac{-11}{8} can be rewritten as -\frac{11}{8} by extracting the negative sign.

$$x=-\frac{11}{8}$$