Solve 4(x+10)-2(x-5)=10x-2

$$4 ( x + 10 ) - 2 ( x - 5 ) = 10 x - 2$$

Solve for x

$$x = \frac{13}{2} = 6\frac{1}{2} = 6.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+10.

$$4x+40-2\left(x-5\right)=10x-2$$

Use the distributive property to multiply -2 by x-5.

$$4x+40-2x+10=10x-2$$

Combine 4x and -2x to get 2x.

$$2x+40+10=10x-2$$

Add 40 and 10 to get 50.

$$2x+50=10x-2$$

Subtract 10x from both sides.

$$2x+50-10x=-2$$

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

$$-8x+50=-2$$

Subtract 50 from both sides.

$$-8x=-2-50$$

Subtract 50 from -2 to get -52.

$$-8x=-52$$

Divide both sides by -8.

$$x=\frac{-52}{-8}$$

Reduce the fraction \frac{-52}{-8} to lowest terms by extracting and canceling out -4.

$$x=\frac{13}{2}$$