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

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


Simplifying
51 = 6x + -3(-1x + 7)

Reorder the terms:
51 = 6x + -3(7 + -1x)
51 = 6x + (7 * -3 + -1x * -3)
51 = 6x + (-21 + 3x)

Reorder the terms:
51 = -21 + 6x + 3x

Combine like terms: 6x + 3x = 9x
51 = -21 + 9x

Solving
51 = -21 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
51 + -9x = -21 + 9x + -9x

Combine like terms: 9x + -9x = 0
51 + -9x = -21 + 0
51 + -9x = -21

Add '-51' to each side of the equation.
51 + -51 + -9x = -21 + -51

Combine like terms: 51 + -51 = 0
0 + -9x = -21 + -51
-9x = -21 + -51

Combine like terms: -21 + -51 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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