3(5-x)-4(3+2x)+2(12-17x)=0

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Solution for 3(5-x)-4(3+2x)+2(12-17x)=0 equation: 


Simplifying
3(5 + -1x) + -4(3 + 2x) + 2(12 + -17x) = 0
(5 * 3 + -1x * 3) + -4(3 + 2x) + 2(12 + -17x) = 0
(15 + -3x) + -4(3 + 2x) + 2(12 + -17x) = 0
15 + -3x + (3 * -4 + 2x * -4) + 2(12 + -17x) = 0
15 + -3x + (-12 + -8x) + 2(12 + -17x) = 0
15 + -3x + -12 + -8x + (12 * 2 + -17x * 2) = 0
15 + -3x + -12 + -8x + (24 + -34x) = 0

Reorder the terms:
15 + -12 + 24 + -3x + -8x + -34x = 0

Combine like terms: 15 + -12 = 3
3 + 24 + -3x + -8x + -34x = 0

Combine like terms: 3 + 24 = 27
27 + -3x + -8x + -34x = 0

Combine like terms: -3x + -8x = -11x
27 + -11x + -34x = 0

Combine like terms: -11x + -34x = -45x
27 + -45x = 0

Solving
27 + -45x = 0

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -45x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -45x = 0 + -27
-45x = 0 + -27

Combine like terms: 0 + -27 = -27
-45x = -27

Divide each side by '-45'.
x = 0.6

Simplifying
x = 0.6

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