Answer:
x = -20.5
Explanation:
Simplifying
4(3x + -5) = 7(2x + 3)
Reorder the terms:
4(-5 + 3x) = 7(2x + 3)
(-5 * 4 + 3x * 4) = 7(2x + 3)
(-20 + 12x) = 7(2x + 3)
Reorder the terms:
-20 + 12x = 7(3 + 2x)
-20 + 12x = (3 * 7 + 2x * 7)
-20 + 12x = (21 + 14x)
Solving
-20 + 12x = 21 + 14x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14x' to each side of the equation.
-20 + 12x + -14x = 21 + 14x + -14x
Combine like terms: 12x + -14x = -2x
-20 + -2x = 21 + 14x + -14x
Combine like terms: 14x + -14x = 0
-20 + -2x = 21 + 0
-20 + -2x = 21
Add '20' to each side of the equation.
-20 + 20 + -2x = 21 + 20
Combine like terms: -20 + 20 = 0
0 + -2x = 21 + 20
-2x = 21 + 20
Combine like terms: 21 + 20 = 41
-2x = 41
Divide each side by '-2'.
x = -20.5