13-4(x+2)=17(x+4)-36

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Solution for 13-4(x+2)=17(x+4)-36 equation: 


Simplifying
13 + -4(x + 2) = 17(x + 4) + -36

Reorder the terms:
13 + -4(2 + x) = 17(x + 4) + -36
13 + (2 * -4 + x * -4) = 17(x + 4) + -36
13 + (-8 + -4x) = 17(x + 4) + -36

Combine like terms: 13 + -8 = 5
5 + -4x = 17(x + 4) + -36

Reorder the terms:
5 + -4x = 17(4 + x) + -36
5 + -4x = (4 * 17 + x * 17) + -36
5 + -4x = (68 + 17x) + -36

Reorder the terms:
5 + -4x = 68 + -36 + 17x

Combine like terms: 68 + -36 = 32
5 + -4x = 32 + 17x

Solving
5 + -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.
5 + -4x + -17x = 32 + 17x + -17x

Combine like terms: -4x + -17x = -21x
5 + -21x = 32 + 17x + -17x

Combine like terms: 17x + -17x = 0
5 + -21x = 32 + 0
5 + -21x = 32

Add '-5' to each side of the equation.
5 + -5 + -21x = 32 + -5

Combine like terms: 5 + -5 = 0
0 + -21x = 32 + -5
-21x = 32 + -5

Combine like terms: 32 + -5 = 27
-21x = 27

Divide each side by '-21'.
x = -1.285714286

Simplifying
x = -1.285714286

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