89-(7X+16)=7(X+4)+X

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Solution for 89-(7X+16)=7(X+4)+X equation: 


Simplifying
89 + -1(7X + 16) = 7(X + 4) + X

Reorder the terms:
89 + -1(16 + 7X) = 7(X + 4) + X
89 + (16 * -1 + 7X * -1) = 7(X + 4) + X
89 + (-16 + -7X) = 7(X + 4) + X

Combine like terms: 89 + -16 = 73
73 + -7X = 7(X + 4) + X

Reorder the terms:
73 + -7X = 7(4 + X) + X
73 + -7X = (4 * 7 + X * 7) + X
73 + -7X = (28 + 7X) + X

Combine like terms: 7X + X = 8X
73 + -7X = 28 + 8X

Solving
73 + -7X = 28 + 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
73 + -7X + -8X = 28 + 8X + -8X

Combine like terms: -7X + -8X = -15X
73 + -15X = 28 + 8X + -8X

Combine like terms: 8X + -8X = 0
73 + -15X = 28 + 0
73 + -15X = 28

Add '-73' to each side of the equation.
73 + -73 + -15X = 28 + -73

Combine like terms: 73 + -73 = 0
0 + -15X = 28 + -73
-15X = 28 + -73

Combine like terms: 28 + -73 = -45
-15X = -45

Divide each side by '-15'.
X = 3

Simplifying
X = 3

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