5(2x-8)-4=5(X-3)+1

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Solution for 5(2x-8)-4=5(X-3)+1 equation: 


Simplifying
5(2x + -8) + -4 = 5(X + -3) + 1

Reorder the terms:
5(-8 + 2x) + -4 = 5(X + -3) + 1
(-8 * 5 + 2x * 5) + -4 = 5(X + -3) + 1
(-40 + 10x) + -4 = 5(X + -3) + 1

Reorder the terms:
-40 + -4 + 10x = 5(X + -3) + 1

Combine like terms: -40 + -4 = -44
-44 + 10x = 5(X + -3) + 1

Reorder the terms:
-44 + 10x = 5(-3 + X) + 1
-44 + 10x = (-3 * 5 + X * 5) + 1
-44 + 10x = (-15 + 5X) + 1

Reorder the terms:
-44 + 10x = -15 + 1 + 5X

Combine like terms: -15 + 1 = -14
-44 + 10x = -14 + 5X

Solving
-44 + 10x = -14 + 5X

Solving for variable 'x'.

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

Add '44' to each side of the equation.
-44 + 44 + 10x = -14 + 44 + 5X

Combine like terms: -44 + 44 = 0
0 + 10x = -14 + 44 + 5X
10x = -14 + 44 + 5X

Combine like terms: -14 + 44 = 30
10x = 30 + 5X

Divide each side by '10'.
x = 3 + 0.5X

Simplifying
x = 3 + 0.5X

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