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

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

Solve for x

$$x=-\frac{6}{19}\approx -0.315789474$$

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 37x.

$$37x-\left(-x\right)-2=-14$$

Add 2 to both sides.

$$37x-\left(-x\right)=-14+2$$

Add -14 and 2 to get -12.

$$37x-\left(-x\right)=-12$$

Multiply -1 and -1 to get 1.

$$37x+x=-12$$

Combine 37x and x to get 38x.

$$38x=-12$$

Divide both sides by 38.

$$x=\frac{-12}{38}$$

Reduce the fraction \frac{-12}{38} to lowest terms by extracting and canceling out 2.

$$x=-\frac{6}{19}$$