Solution for 5(3x-4)=2x+7+4x equation:
Simplifying
5(3x + -4) = 2x + 7 + 4x
Reorder the terms:
5(-4 + 3x) = 2x + 7 + 4x
(-4 * 5 + 3x * 5) = 2x + 7 + 4x
(-20 + 15x) = 2x + 7 + 4x
Reorder the terms:
-20 + 15x = 7 + 2x + 4x
Combine like terms: 2x + 4x = 6x
-20 + 15x = 7 + 6x
Solving
-20 + 15x = 7 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-20 + 15x + -6x = 7 + 6x + -6x
Combine like terms: 15x + -6x = 9x
-20 + 9x = 7 + 6x + -6x
Combine like terms: 6x + -6x = 0
-20 + 9x = 7 + 0
-20 + 9x = 7
Add '20' to each side of the equation.
-20 + 20 + 9x = 7 + 20
Combine like terms: -20 + 20 = 0
0 + 9x = 7 + 20
9x = 7 + 20
Combine like terms: 7 + 20 = 27
9x = 27
Divide each side by '9'.
x = 3
Simplifying
x = 3
:) good luck!