Solution for 4(2x+7)=12-2(10-2x) equation:
Simplifying
4(2x + 7) = 12 + -2(10 + -2x)
Reorder the terms:
4(7 + 2x) = 12 + -2(10 + -2x)
(7 * 4 + 2x * 4) = 12 + -2(10 + -2x)
(28 + 8x) = 12 + -2(10 + -2x)
28 + 8x = 12 + (10 * -2 + -2x * -2)
28 + 8x = 12 + (-20 + 4x)
Combine like terms: 12 + -20 = -8
28 + 8x = -8 + 4x
Solving
28 + 8x = -8 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
28 + 8x + -4x = -8 + 4x + -4x
Combine like terms: 8x + -4x = 4x
28 + 4x = -8 + 4x + -4x
Combine like terms: 4x + -4x = 0
28 + 4x = -8 + 0
28 + 4x = -8
Add '-28' to each side of the equation.
28 + -28 + 4x = -8 + -28
Combine like terms: 28 + -28 = 0
0 + 4x = -8 + -28
4x = -8 + -28
Combine like terms: -8 + -28 = -36
4x = -36
Divide each side by '4'.
x = -9
Let’s just say... I obviously didn’t know this... and most likely it’s probably wrong... but I tried... hope you’ll understand this in the future lol