5(x-8)-5=3(x+2)

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


Simplifying
5(x + -8) + -5 = 3(x + 2)

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

Reorder the terms:
-40 + -5 + 5x = 3(x + 2)

Combine like terms: -40 + -5 = -45
-45 + 5x = 3(x + 2)

Reorder the terms:
-45 + 5x = 3(2 + x)
-45 + 5x = (2 * 3 + x * 3)
-45 + 5x = (6 + 3x)

Solving
-45 + 5x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-45 + 5x + -3x = 6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-45 + 2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-45 + 2x = 6 + 0
-45 + 2x = 6

Add '45' to each side of the equation.
-45 + 45 + 2x = 6 + 45

Combine like terms: -45 + 45 = 0
0 + 2x = 6 + 45
2x = 6 + 45

Combine like terms: 6 + 45 = 51
2x = 51

Divide each side by '2'.
x = 25.5

Simplifying
x = 25.5

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