0=X(5-12)+1(10x+9)+2(-8x-3)

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Solution for 0=X(5-12)+1(10x+9)+2(-8x-3) equation:


Simplifying
0 = X(5 + -12) + 1(10x + 9) + 2(-8x + -3)

Combine like terms: 5 + -12 = -7
0 = X(-7) + 1(10x + 9) + 2(-8x + -3)

Reorder the terms for easier multiplication:
0 = -7X + 1(10x + 9) + 2(-8x + -3)

Reorder the terms:
0 = -7X + 1(9 + 10x) + 2(-8x + -3)
0 = -7X + (9 * 1 + 10x * 1) + 2(-8x + -3)
0 = -7X + (9 + 10x) + 2(-8x + -3)

Reorder the terms:
0 = -7X + 9 + 10x + 2(-3 + -8x)
0 = -7X + 9 + 10x + (-3 * 2 + -8x * 2)
0 = -7X + 9 + 10x + (-6 + -16x)

Reorder the terms:
0 = 9 + -6 + -7X + 10x + -16x

Combine like terms: 9 + -6 = 3
0 = 3 + -7X + 10x + -16x

Combine like terms: 10x + -16x = -6x
0 = 3 + -7X + -6x

Solving
0 = 3 + -7X + -6x

Solving for variable 'X'.

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

Add '7X' to each side of the equation.
0 + 7X = 3 + -7X + 7X + -6x
Remove the zero:
7X = 3 + -7X + 7X + -6x

Combine like terms: -7X + 7X = 0
7X = 3 + 0 + -6x
7X = 3 + -6x

Divide each side by '7'.
X = 0.4285714286 + -0.8571428571x

Simplifying
X = 0.4285714286 + -0.8571428571x

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