7(X+6)=3(x-6)

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Solution for 7(X+6)=3(x-6) equation:


Simplifying
7(X + 6) = 3(x + -6)

Reorder the terms:
7(6 + X) = 3(x + -6)
(6 * 7 + X * 7) = 3(x + -6)
(42 + 7X) = 3(x + -6)

Reorder the terms:
42 + 7X = 3(-6 + x)
42 + 7X = (-6 * 3 + x * 3)
42 + 7X = (-18 + 3x)

Solving
42 + 7X = -18 + 3x

Solving for variable 'X'.

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

Add '-42' to each side of the equation.
42 + -42 + 7X = -18 + -42 + 3x

Combine like terms: 42 + -42 = 0
0 + 7X = -18 + -42 + 3x
7X = -18 + -42 + 3x

Combine like terms: -18 + -42 = -60
7X = -60 + 3x

Divide each side by '7'.
X = -8.571428571 + 0.4285714286x

Simplifying
X = -8.571428571 + 0.4285714286x

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