3(17-x)+12x=2(8-3x)+50

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Solution for 3(17-x)+12x=2(8-3x)+50 equation:


Simplifying
3(17 + -1x) + 12x = 2(8 + -3x) + 50
(17 * 3 + -1x * 3) + 12x = 2(8 + -3x) + 50
(51 + -3x) + 12x = 2(8 + -3x) + 50

Combine like terms: -3x + 12x = 9x
51 + 9x = 2(8 + -3x) + 50
51 + 9x = (8 * 2 + -3x * 2) + 50
51 + 9x = (16 + -6x) + 50

Reorder the terms:
51 + 9x = 16 + 50 + -6x

Combine like terms: 16 + 50 = 66
51 + 9x = 66 + -6x

Solving
51 + 9x = 66 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
51 + 9x + 6x = 66 + -6x + 6x

Combine like terms: 9x + 6x = 15x
51 + 15x = 66 + -6x + 6x

Combine like terms: -6x + 6x = 0
51 + 15x = 66 + 0
51 + 15x = 66

Add '-51' to each side of the equation.
51 + -51 + 15x = 66 + -51

Combine like terms: 51 + -51 = 0
0 + 15x = 66 + -51
15x = 66 + -51

Combine like terms: 66 + -51 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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