(4x+12)-(2x-5)=0

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Solution for (4x+12)-(2x-5)=0 equation:


Simplifying
(4x + 12) + -1(2x + -5) = 0

Reorder the terms:
(12 + 4x) + -1(2x + -5) = 0

Remove parenthesis around (12 + 4x)
12 + 4x + -1(2x + -5) = 0

Reorder the terms:
12 + 4x + -1(-5 + 2x) = 0
12 + 4x + (-5 * -1 + 2x * -1) = 0
12 + 4x + (5 + -2x) = 0

Reorder the terms:
12 + 5 + 4x + -2x = 0

Combine like terms: 12 + 5 = 17
17 + 4x + -2x = 0

Combine like terms: 4x + -2x = 2x
17 + 2x = 0

Solving
17 + 2x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-17' to each side of the equation.
17 + -17 + 2x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 0 + -17
2x = 0 + -17

Combine like terms: 0 + -17 = -17
2x = -17

Divide each side by '2'.
x = -8.5

Simplifying
x = -8.5

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