Find All Complex Solutions 4(x-5)=3x+7

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

Simplify $4 (x - 5)$ .

Rewrite.

$0 + 0 + 4 (x - 5) = 3 x + 7$

Simplify by adding zeros.

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

Apply the distributive property.

$4 x + 4 \cdot - 5 = 3 x + 7$

Multiply $4$ by $- 5$ .

$4 x - 20 = 3 x + 7$

Move all terms containing $x$ to the left side of the equation.

Subtract $3 x$ from both sides of the equation.

$4 x - 20 - 3 x = 7$

Subtract $3 x$ from $4 x$ .

$x - 20 = 7$

Move all terms not containing $x$ to the right side of the equation.

Add $20$ to both sides of the equation.

$x = 7 + 20$

Add $7$ and $20$ .

$x = 27$