16-4(x+2)=17(x+4)-36

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Solution for 16-4(x+2)=17(x+4)-36 equation: 


Simplifying
16 + -4(x + 2) = 17(x + 4) + -36

Reorder the terms:
16 + -4(2 + x) = 17(x + 4) + -36
16 + (2 * -4 + x * -4) = 17(x + 4) + -36
16 + (-8 + -4x) = 17(x + 4) + -36

Combine like terms: 16 + -8 = 8
8 + -4x = 17(x + 4) + -36

Reorder the terms:
8 + -4x = 17(4 + x) + -36
8 + -4x = (4 * 17 + x * 17) + -36
8 + -4x = (68 + 17x) + -36

Reorder the terms:
8 + -4x = 68 + -36 + 17x

Combine like terms: 68 + -36 = 32
8 + -4x = 32 + 17x

Solving
8 + -4x = 32 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
8 + -4x + -17x = 32 + 17x + -17x

Combine like terms: -4x + -17x = -21x
8 + -21x = 32 + 17x + -17x

Combine like terms: 17x + -17x = 0
8 + -21x = 32 + 0
8 + -21x = 32

Add '-8' to each side of the equation.
8 + -8 + -21x = 32 + -8

Combine like terms: 8 + -8 = 0
0 + -21x = 32 + -8
-21x = 32 + -8

Combine like terms: 32 + -8 = 24
-21x = 24

Divide each side by '-21'.
x = -1.142857143

Simplifying
x = -1.142857143

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