89-(3x+16)=3(x+8)+x

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Solution for 89-(3x+16)=3(x+8)+x equation: 


Simplifying
89 + -1(3x + 16) = 3(x + 8) + x

Reorder the terms:
89 + -1(16 + 3x) = 3(x + 8) + x
89 + (16 * -1 + 3x * -1) = 3(x + 8) + x
89 + (-16 + -3x) = 3(x + 8) + x

Combine like terms: 89 + -16 = 73
73 + -3x = 3(x + 8) + x

Reorder the terms:
73 + -3x = 3(8 + x) + x
73 + -3x = (8 * 3 + x * 3) + x
73 + -3x = (24 + 3x) + x

Combine like terms: 3x + x = 4x
73 + -3x = 24 + 4x

Solving
73 + -3x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
73 + -3x + -4x = 24 + 4x + -4x

Combine like terms: -3x + -4x = -7x
73 + -7x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
73 + -7x = 24 + 0
73 + -7x = 24

Add '-73' to each side of the equation.
73 + -73 + -7x = 24 + -73

Combine like terms: 73 + -73 = 0
0 + -7x = 24 + -73
-7x = 24 + -73

Combine like terms: 24 + -73 = -49
-7x = -49

Divide each side by '-7'.
x = 7

Simplifying
x = 7

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