51=6x-7(-3x-18)

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Solution for 51=6x-7(-3x-18) equation:


Simplifying
51 = 6x + -7(-3x + -18)

Reorder the terms:
51 = 6x + -7(-18 + -3x)
51 = 6x + (-18 * -7 + -3x * -7)
51 = 6x + (126 + 21x)

Reorder the terms:
51 = 126 + 6x + 21x

Combine like terms: 6x + 21x = 27x
51 = 126 + 27x

Solving
51 = 126 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
51 + -27x = 126 + 27x + -27x

Combine like terms: 27x + -27x = 0
51 + -27x = 126 + 0
51 + -27x = 126

Add '-51' to each side of the equation.
51 + -51 + -27x = 126 + -51

Combine like terms: 51 + -51 = 0
0 + -27x = 126 + -51
-27x = 126 + -51

Combine like terms: 126 + -51 = 75
-27x = 75

Divide each side by '-27'.
x = -2.777777778

Simplifying
x = -2.777777778

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