5(2x-8)-4=5(x-4)+21

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Solution for 5(2x-8)-4=5(x-4)+21 equation:


Simplifying
5(2x + -8) + -4 = 5(x + -4) + 21

Reorder the terms:
5(-8 + 2x) + -4 = 5(x + -4) + 21
(-8 * 5 + 2x * 5) + -4 = 5(x + -4) + 21
(-40 + 10x) + -4 = 5(x + -4) + 21

Reorder the terms:
-40 + -4 + 10x = 5(x + -4) + 21

Combine like terms: -40 + -4 = -44
-44 + 10x = 5(x + -4) + 21

Reorder the terms:
-44 + 10x = 5(-4 + x) + 21
-44 + 10x = (-4 * 5 + x * 5) + 21
-44 + 10x = (-20 + 5x) + 21

Reorder the terms:
-44 + 10x = -20 + 21 + 5x

Combine like terms: -20 + 21 = 1
-44 + 10x = 1 + 5x

Solving
-44 + 10x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-44 + 10x + -5x = 1 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-44 + 5x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-44 + 5x = 1 + 0
-44 + 5x = 1

Add '44' to each side of the equation.
-44 + 44 + 5x = 1 + 44

Combine like terms: -44 + 44 = 0
0 + 5x = 1 + 44
5x = 1 + 44

Combine like terms: 1 + 44 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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