6x=-3(x-10)+51

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Solution for 6x=-3(x-10)+51 equation: 


Simplifying
6x = -3(x + -10) + 51

Reorder the terms:
6x = -3(-10 + x) + 51
6x = (-10 * -3 + x * -3) + 51
6x = (30 + -3x) + 51

Reorder the terms:
6x = 30 + 51 + -3x

Combine like terms: 30 + 51 = 81
6x = 81 + -3x

Solving
6x = 81 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6x + 3x = 81 + -3x + 3x

Combine like terms: 6x + 3x = 9x
9x = 81 + -3x + 3x

Combine like terms: -3x + 3x = 0
9x = 81 + 0
9x = 81

Divide each side by '9'.
x = 9

Simplifying
x = 9

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