4(2x-4)-5=4(x-5)+19

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Solution for 4(2x-4)-5=4(x-5)+19 equation:


Simplifying
4(2x + -4) + -5 = 4(x + -5) + 19

Reorder the terms:
4(-4 + 2x) + -5 = 4(x + -5) + 19
(-4 * 4 + 2x * 4) + -5 = 4(x + -5) + 19
(-16 + 8x) + -5 = 4(x + -5) + 19

Reorder the terms:
-16 + -5 + 8x = 4(x + -5) + 19

Combine like terms: -16 + -5 = -21
-21 + 8x = 4(x + -5) + 19

Reorder the terms:
-21 + 8x = 4(-5 + x) + 19
-21 + 8x = (-5 * 4 + x * 4) + 19
-21 + 8x = (-20 + 4x) + 19

Reorder the terms:
-21 + 8x = -20 + 19 + 4x

Combine like terms: -20 + 19 = -1
-21 + 8x = -1 + 4x

Solving
-21 + 8x = -1 + 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.
-21 + 8x + -4x = -1 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-21 + 4x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + 4x = -1 + 0
-21 + 4x = -1

Add '21' to each side of the equation.
-21 + 21 + 4x = -1 + 21

Combine like terms: -21 + 21 = 0
0 + 4x = -1 + 21
4x = -1 + 21

Combine like terms: -1 + 21 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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