Solve 10(x-7)-8*(x+5)=6(-5)+24

$$10(x-7)-8 \times (x+5)=6(-5)+24$$

Solve for x

$$x=52$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by x-7.

$$10x-70-8\left(x+5\right)=6\left(-5\right)+24$$

Use the distributive property to multiply -8 by x+5.

$$10x-70-8x-40=6\left(-5\right)+24$$

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

$$2x-70-40=6\left(-5\right)+24$$

Subtract 40 from -70 to get -110.

$$2x-110=6\left(-5\right)+24$$

Multiply 6 and -5 to get -30.

$$2x-110=-30+24$$

Add -30 and 24 to get -6.

$$2x-110=-6$$

Add 110 to both sides.

$$2x=-6+110$$

Add -6 and 110 to get 104.

$$2x=104$$

Divide both sides by 2.

$$x=\frac{104}{2}$$

Divide 104 by 2 to get 52.

$$x=52$$