3(X+6)-4(X-7)=51

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Solution for 3(X+6)-4(X-7)=51 equation: 


Simplifying
3(X + 6) + -4(X + -7) = 51

Reorder the terms:
3(6 + X) + -4(X + -7) = 51
(6 * 3 + X * 3) + -4(X + -7) = 51
(18 + 3X) + -4(X + -7) = 51

Reorder the terms:
18 + 3X + -4(-7 + X) = 51
18 + 3X + (-7 * -4 + X * -4) = 51
18 + 3X + (28 + -4X) = 51

Reorder the terms:
18 + 28 + 3X + -4X = 51

Combine like terms: 18 + 28 = 46
46 + 3X + -4X = 51

Combine like terms: 3X + -4X = -1X
46 + -1X = 51

Solving
46 + -1X = 51

Solving for variable 'X'.

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

Add '-46' to each side of the equation.
46 + -46 + -1X = 51 + -46

Combine like terms: 46 + -46 = 0
0 + -1X = 51 + -46
-1X = 51 + -46

Combine like terms: 51 + -46 = 5
-1X = 5

Divide each side by '-1'.
X = -5

Simplifying
X = -5

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