6(x-2)=-3x+51

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Solution for 6(x-2)=-3x+51 equation:


Simplifying
6(x + -2) = -3x + 51

Reorder the terms:
6(-2 + x) = -3x + 51
(-2 * 6 + x * 6) = -3x + 51
(-12 + 6x) = -3x + 51

Reorder the terms:
-12 + 6x = 51 + -3x

Solving
-12 + 6x = 51 + -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.
-12 + 6x + 3x = 51 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-12 + 9x = 51 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 9x = 51 + 0
-12 + 9x = 51

Add '12' to each side of the equation.
-12 + 12 + 9x = 51 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = 51 + 12
9x = 51 + 12

Combine like terms: 51 + 12 = 63
9x = 63

Divide each side by '9'.
x = 7

Simplifying
x = 7

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