3(x-4)-8=4(2+x)+5

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Solution for 3(x-4)-8=4(2+x)+5 equation: 


Simplifying
3(x + -4) + -8 = 4(2 + x) + 5

Reorder the terms:
3(-4 + x) + -8 = 4(2 + x) + 5
(-4 * 3 + x * 3) + -8 = 4(2 + x) + 5
(-12 + 3x) + -8 = 4(2 + x) + 5

Reorder the terms:
-12 + -8 + 3x = 4(2 + x) + 5

Combine like terms: -12 + -8 = -20
-20 + 3x = 4(2 + x) + 5
-20 + 3x = (2 * 4 + x * 4) + 5
-20 + 3x = (8 + 4x) + 5

Reorder the terms:
-20 + 3x = 8 + 5 + 4x

Combine like terms: 8 + 5 = 13
-20 + 3x = 13 + 4x

Solving
-20 + 3x = 13 + 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.
-20 + 3x + -4x = 13 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-20 + -1x = 13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + -1x = 13 + 0
-20 + -1x = 13

Add '20' to each side of the equation.
-20 + 20 + -1x = 13 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 13 + 20
-1x = 13 + 20

Combine like terms: 13 + 20 = 33
-1x = 33

Divide each side by '-1'.
x = -33

Simplifying
x = -33

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