Solve 5(2-x)+3(x+6)=10-4(6+2x)

$$5 ( 2 - x ) + 3 ( x + 6 ) = 10 - 4 ( 6 + 2 x )$$

Solve for x

$$x=-7$$

Steps for Solving Linear Equation

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

$$10-5x+3\left(x+6\right)=10-4\left(6+2x\right)$$

Use the distributive property to multiply 3 by x+6.

$$10-5x+3x+18=10-4\left(6+2x\right)$$

Combine -5x and 3x to get -2x.

$$10-2x+18=10-4\left(6+2x\right)$$

Add 10 and 18 to get 28.

$$28-2x=10-4\left(6+2x\right)$$

Use the distributive property to multiply -4 by 6+2x.

$$28-2x=10-24-8x$$

Subtract 24 from 10 to get -14.

$$28-2x=-14-8x$$

Add 8x to both sides.

$$28-2x+8x=-14$$

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

$$28+6x=-14$$

Subtract 28 from both sides.

$$6x=-14-28$$

Subtract 28 from -14 to get -42.

$$6x=-42$$

Divide both sides by 6.

$$x=\frac{-42}{6}$$

Divide -42 by 6 to get -7.

$$x=-7$$