5+8(X-2)=11-7(X-8)

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Solution for 5+8(X-2)=11-7(X-8) equation: 


Simplifying
5 + 8(X + -2) = 11 + -7(X + -8)

Reorder the terms:
5 + 8(-2 + X) = 11 + -7(X + -8)
5 + (-2 * 8 + X * 8) = 11 + -7(X + -8)
5 + (-16 + 8X) = 11 + -7(X + -8)

Combine like terms: 5 + -16 = -11
-11 + 8X = 11 + -7(X + -8)

Reorder the terms:
-11 + 8X = 11 + -7(-8 + X)
-11 + 8X = 11 + (-8 * -7 + X * -7)
-11 + 8X = 11 + (56 + -7X)

Combine like terms: 11 + 56 = 67
-11 + 8X = 67 + -7X

Solving
-11 + 8X = 67 + -7X

Solving for variable 'X'.

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

Add '7X' to each side of the equation.
-11 + 8X + 7X = 67 + -7X + 7X

Combine like terms: 8X + 7X = 15X
-11 + 15X = 67 + -7X + 7X

Combine like terms: -7X + 7X = 0
-11 + 15X = 67 + 0
-11 + 15X = 67

Add '11' to each side of the equation.
-11 + 11 + 15X = 67 + 11

Combine like terms: -11 + 11 = 0
0 + 15X = 67 + 11
15X = 67 + 11

Combine like terms: 67 + 11 = 78
15X = 78

Divide each side by '15'.
X = 5.2

Simplifying
X = 5.2

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