3(x-1)+5(x-5)=5

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Solution for 3(x-1)+5(x-5)=5 equation: 


Simplifying
3(x + -1) + 5(x + -5) = 5

Reorder the terms:
3(-1 + x) + 5(x + -5) = 5
(-1 * 3 + x * 3) + 5(x + -5) = 5
(-3 + 3x) + 5(x + -5) = 5

Reorder the terms:
-3 + 3x + 5(-5 + x) = 5
-3 + 3x + (-5 * 5 + x * 5) = 5
-3 + 3x + (-25 + 5x) = 5

Reorder the terms:
-3 + -25 + 3x + 5x = 5

Combine like terms: -3 + -25 = -28
-28 + 3x + 5x = 5

Combine like terms: 3x + 5x = 8x
-28 + 8x = 5

Solving
-28 + 8x = 5

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 8x = 5 + 28

Combine like terms: -28 + 28 = 0
0 + 8x = 5 + 28
8x = 5 + 28

Combine like terms: 5 + 28 = 33
8x = 33

Divide each side by '8'.
x = 4.125

Simplifying
x = 4.125

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