Solve 5x-10-15(x+4)=6(x-1)

$$5x-10-15(x+4)=6(x-1)$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Use the distributive property to multiply -15 by x+4.

$$5x-10-15x-60=6\left(x-1\right)$$

Combine 5x and -15x to get -10x.

$$-10x-10-60=6\left(x-1\right)$$

Subtract 60 from -10 to get -70.

$$-10x-70=6\left(x-1\right)$$

Use the distributive property to multiply 6 by x-1.

$$-10x-70=6x-6$$

Subtract 6x from both sides.

$$-10x-70-6x=-6$$

Combine -10x and -6x to get -16x.

$$-16x-70=-6$$

Add 70 to both sides.

$$-16x=-6+70$$

Add -6 and 70 to get 64.

$$-16x=64$$

Divide both sides by -16.

$$x=\frac{64}{-16}$$

Divide 64 by -16 to get -4.

$$x=-4$$