Solve 5(-15)+8x=6x-10(-x)

$$5 ( - 15 ) + 8 x = 6 x - 10 ( - x )$$

Solve for x

$$x = -\frac{75}{8} = -9\frac{3}{8} = -9.375$$

Steps for Solving Linear Equation

Multiply 5 and -15 to get -75.

$$-75+8x=6x-10\left(-x\right)$$

Add 10\left(-x\right) to both sides.

$$-75+8x+10\left(-x\right)=6x$$

Subtract 6x from both sides.

$$-75+8x+10\left(-x\right)-6x=0$$

Combine 8x and -6x to get 2x.

$$-75+2x+10\left(-x\right)=0$$

Add 75 to both sides. Anything plus zero gives itself.

$$2x+10\left(-x\right)=75$$

Multiply 10 and -1 to get -10.

$$2x-10x=75$$

Combine 2x and -10x to get -8x.

$$-8x=75$$

Divide both sides by -8.

$$x=\frac{75}{-8}$$

Fraction \frac{75}{-8} can be rewritten as -\frac{75}{8} by extracting the negative sign.

$$x=-\frac{75}{8}$$