Solve -30x-(-x+6)+(-5x+4)=-(5x+6)+(-8+3x)

$$-30x-(-x+6)+(-5x+4)=-(5x+6)+(-8+3x)$$

Solve for x

$$x=\frac{3}{8}=0.375$$

Steps for Solving Linear Equation

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

$$-30x-\left(-x\right)-6-5x+4=-\left(5x+6\right)-8+3x$$

Combine -30x and -5x to get -35x.

$$-35x-\left(-x\right)-6+4=-\left(5x+6\right)-8+3x$$

Add -6 and 4 to get -2.

$$-35x-\left(-x\right)-2=-\left(5x+6\right)-8+3x$$

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

$$-35x-\left(-x\right)-2=-5x-6-8+3x$$

Subtract 8 from -6 to get -14.

$$-35x-\left(-x\right)-2=-5x-14+3x$$

Combine -5x and 3x to get -2x.

$$-35x-\left(-x\right)-2=-2x-14$$

Add 2x to both sides.

$$-35x-\left(-x\right)-2+2x=-14$$

Combine -35x and 2x to get -33x.

$$-33x-\left(-x\right)-2=-14$$

Add 2 to both sides.

$$-33x-\left(-x\right)=-14+2$$

Add -14 and 2 to get -12.

$$-33x-\left(-x\right)=-12$$

Multiply -1 and -1 to get 1.

$$-33x+x=-12$$

Combine -33x and x to get -32x.

$$-32x=-12$$

Divide both sides by -32.

$$x=\frac{-12}{-32}$$

Reduce the fraction \frac{-12}{-32} to lowest terms by extracting and canceling out -4.

$$x=\frac{3}{8}$$