-(12x-5)-(2x-6)+4=-14(x+1)-(3x+14)+3

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Solution for -(12x-5)-(2x-6)+4=-14(x+1)-(3x+14)+3 equation:


Simplifying
-1(12x + -5) + -1(2x + -6) + 4 = -14(x + 1) + -1(3x + 14) + 3

Reorder the terms:
-1(-5 + 12x) + -1(2x + -6) + 4 = -14(x + 1) + -1(3x + 14) + 3
(-5 * -1 + 12x * -1) + -1(2x + -6) + 4 = -14(x + 1) + -1(3x + 14) + 3
(5 + -12x) + -1(2x + -6) + 4 = -14(x + 1) + -1(3x + 14) + 3

Reorder the terms:
5 + -12x + -1(-6 + 2x) + 4 = -14(x + 1) + -1(3x + 14) + 3
5 + -12x + (-6 * -1 + 2x * -1) + 4 = -14(x + 1) + -1(3x + 14) + 3
5 + -12x + (6 + -2x) + 4 = -14(x + 1) + -1(3x + 14) + 3

Reorder the terms:
5 + 6 + 4 + -12x + -2x = -14(x + 1) + -1(3x + 14) + 3

Combine like terms: 5 + 6 = 11
11 + 4 + -12x + -2x = -14(x + 1) + -1(3x + 14) + 3

Combine like terms: 11 + 4 = 15
15 + -12x + -2x = -14(x + 1) + -1(3x + 14) + 3

Combine like terms: -12x + -2x = -14x
15 + -14x = -14(x + 1) + -1(3x + 14) + 3

Reorder the terms:
15 + -14x = -14(1 + x) + -1(3x + 14) + 3
15 + -14x = (1 * -14 + x * -14) + -1(3x + 14) + 3
15 + -14x = (-14 + -14x) + -1(3x + 14) + 3

Reorder the terms:
15 + -14x = -14 + -14x + -1(14 + 3x) + 3
15 + -14x = -14 + -14x + (14 * -1 + 3x * -1) + 3
15 + -14x = -14 + -14x + (-14 + -3x) + 3

Reorder the terms:
15 + -14x = -14 + -14 + 3 + -14x + -3x

Combine like terms: -14 + -14 = -28
15 + -14x = -28 + 3 + -14x + -3x

Combine like terms: -28 + 3 = -25
15 + -14x = -25 + -14x + -3x

Combine like terms: -14x + -3x = -17x
15 + -14x = -25 + -17x

Solving
15 + -14x = -25 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
15 + -14x + 17x = -25 + -17x + 17x

Combine like terms: -14x + 17x = 3x
15 + 3x = -25 + -17x + 17x

Combine like terms: -17x + 17x = 0
15 + 3x = -25 + 0
15 + 3x = -25

Add '-15' to each side of the equation.
15 + -15 + 3x = -25 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = -25 + -15
3x = -25 + -15

Combine like terms: -25 + -15 = -40
3x = -40

Divide each side by '3'.
x = -13.33333333

Simplifying
x = -13.33333333

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