14-2(5-7x)=3(9+4x)-17

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Solution for 14-2(5-7x)=3(9+4x)-17 equation:


Simplifying
14 + -2(5 + -7x) = 3(9 + 4x) + -17
14 + (5 * -2 + -7x * -2) = 3(9 + 4x) + -17
14 + (-10 + 14x) = 3(9 + 4x) + -17

Combine like terms: 14 + -10 = 4
4 + 14x = 3(9 + 4x) + -17
4 + 14x = (9 * 3 + 4x * 3) + -17
4 + 14x = (27 + 12x) + -17

Reorder the terms:
4 + 14x = 27 + -17 + 12x

Combine like terms: 27 + -17 = 10
4 + 14x = 10 + 12x

Solving
4 + 14x = 10 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
4 + 14x + -12x = 10 + 12x + -12x

Combine like terms: 14x + -12x = 2x
4 + 2x = 10 + 12x + -12x

Combine like terms: 12x + -12x = 0
4 + 2x = 10 + 0
4 + 2x = 10

Add '-4' to each side of the equation.
4 + -4 + 2x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 10 + -4
2x = 10 + -4

Combine like terms: 10 + -4 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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