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

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


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

Reorder the terms:
4(-8 + 3x) + -5 = 4(x + -4) + -5
(-8 * 4 + 3x * 4) + -5 = 4(x + -4) + -5
(-32 + 12x) + -5 = 4(x + -4) + -5

Reorder the terms:
-32 + -5 + 12x = 4(x + -4) + -5

Combine like terms: -32 + -5 = -37
-37 + 12x = 4(x + -4) + -5

Reorder the terms:
-37 + 12x = 4(-4 + x) + -5
-37 + 12x = (-4 * 4 + x * 4) + -5
-37 + 12x = (-16 + 4x) + -5

Reorder the terms:
-37 + 12x = -16 + -5 + 4x

Combine like terms: -16 + -5 = -21
-37 + 12x = -21 + 4x

Solving
-37 + 12x = -21 + 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.
-37 + 12x + -4x = -21 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-37 + 8x = -21 + 4x + -4x

Combine like terms: 4x + -4x = 0
-37 + 8x = -21 + 0
-37 + 8x = -21

Add '37' to each side of the equation.
-37 + 37 + 8x = -21 + 37

Combine like terms: -37 + 37 = 0
0 + 8x = -21 + 37
8x = -21 + 37

Combine like terms: -21 + 37 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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