[3(A-1)+6]X=10

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Solution for [3(A-1)+6]X=10 equation: 


Simplifying
[3(A + -1) + 6] * X = 10

Reorder the terms:
[3(-1 + A) + 6] * X = 10
[(-1 * 3 + A * 3) + 6] * X = 10
[(-3 + 3A) + 6] * X = 10

Reorder the terms:
[-3 + 6 + 3A] * X = 10

Combine like terms: -3 + 6 = 3
[3 + 3A] * X = 10

Reorder the terms for easier multiplication:
X[3 + 3A] = 10
[3 * X + 3A * X] = 10

Reorder the terms:
[3AX + 3X] = 10
[3AX + 3X] = 10

Solving
3AX + 3X = 10

Solving for variable 'A'.

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

Add '-3X' to each side of the equation.
3AX + 3X + -3X = 10 + -3X

Combine like terms: 3X + -3X = 0
3AX + 0 = 10 + -3X
3AX = 10 + -3X

Divide each side by '3X'.
A = 3.333333333X-1 + -1

Simplifying
A = 3.333333333X-1 + -1

Reorder the terms:
A = -1 + 3.333333333X-1

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