Solve 5(2-x)=(x+7)4-3(2x+3)

$$5 ( 2 - x ) = ( x + 7 ) 4 - 3 ( 2 x + 3 )$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

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

$$10-5x=\left(x+7\right)\times 4-3\left(2x+3\right)$$

Use the distributive property to multiply x+7 by 4.

$$10-5x=4x+28-3\left(2x+3\right)$$

Use the distributive property to multiply -3 by 2x+3.

$$10-5x=4x+28-6x-9$$

Combine 4x and -6x to get -2x.

$$10-5x=-2x+28-9$$

Subtract 9 from 28 to get 19.

$$10-5x=-2x+19$$

Add 2x to both sides.

$$10-5x+2x=19$$

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

$$10-3x=19$$

Subtract 10 from both sides.

$$-3x=19-10$$

Subtract 10 from 19 to get 9.

$$-3x=9$$

Divide both sides by -3.

$$x=\frac{9}{-3}$$

Divide 9 by -3 to get -3.

$$x=-3$$