(4+1)(6+7)=50-6.5(X+5)

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Solution for (4+1)(6+7)=50-6.5(X+5) equation: 


Simplifying
(4 + 1)(6 + 7) = 50 + -6.5(X + 5)

Combine like terms: 4 + 1 = 5
(5)(6 + 7) = 50 + -6.5(X + 5)

Combine like terms: 6 + 7 = 13
5(13) = 50 + -6.5(X + 5)

Multiply 5 * 13
65 = 50 + -6.5(X + 5)

Reorder the terms:
65 = 50 + -6.5(5 + X)
65 = 50 + (5 * -6.5 + X * -6.5)
65 = 50 + (-32.5 + -6.5X)

Combine like terms: 50 + -32.5 = 17.5
65 = 17.5 + -6.5X

Solving
65 = 17.5 + -6.5X

Solving for variable 'X'.

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

Add '6.5X' to each side of the equation.
65 + 6.5X = 17.5 + -6.5X + 6.5X

Combine like terms: -6.5X + 6.5X = 0.0
65 + 6.5X = 17.5 + 0.0
65 + 6.5X = 17.5

Add '-65' to each side of the equation.
65 + -65 + 6.5X = 17.5 + -65

Combine like terms: 65 + -65 = 0
0 + 6.5X = 17.5 + -65
6.5X = 17.5 + -65

Combine like terms: 17.5 + -65 = -47.5
6.5X = -47.5

Divide each side by '6.5'.
X = -7.307692308

Simplifying
X = -7.307692308

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