7(2X-1)-6(11-X)=3(X+4)

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Solution for 7(2X-1)-6(11-X)=3(X+4) equation:


Simplifying
7(2X + -1) + -6(11 + -1X) = 3(X + 4)

Reorder the terms:
7(-1 + 2X) + -6(11 + -1X) = 3(X + 4)
(-1 * 7 + 2X * 7) + -6(11 + -1X) = 3(X + 4)
(-7 + 14X) + -6(11 + -1X) = 3(X + 4)
-7 + 14X + (11 * -6 + -1X * -6) = 3(X + 4)
-7 + 14X + (-66 + 6X) = 3(X + 4)

Reorder the terms:
-7 + -66 + 14X + 6X = 3(X + 4)

Combine like terms: -7 + -66 = -73
-73 + 14X + 6X = 3(X + 4)

Combine like terms: 14X + 6X = 20X
-73 + 20X = 3(X + 4)

Reorder the terms:
-73 + 20X = 3(4 + X)
-73 + 20X = (4 * 3 + X * 3)
-73 + 20X = (12 + 3X)

Solving
-73 + 20X = 12 + 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.
-73 + 20X + -3X = 12 + 3X + -3X

Combine like terms: 20X + -3X = 17X
-73 + 17X = 12 + 3X + -3X

Combine like terms: 3X + -3X = 0
-73 + 17X = 12 + 0
-73 + 17X = 12

Add '73' to each side of the equation.
-73 + 73 + 17X = 12 + 73

Combine like terms: -73 + 73 = 0
0 + 17X = 12 + 73
17X = 12 + 73

Combine like terms: 12 + 73 = 85
17X = 85

Divide each side by '17'.
X = 5

Simplifying
X = 5

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