3x+05(2x-8)=5(x-2)

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Solution for 3x+05(2x-8)=5(x-2) equation:


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

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

Reorder the terms:
-40 + 3x + 10x = 5(x + -2)

Combine like terms: 3x + 10x = 13x
-40 + 13x = 5(x + -2)

Reorder the terms:
-40 + 13x = 5(-2 + x)
-40 + 13x = (-2 * 5 + x * 5)
-40 + 13x = (-10 + 5x)

Solving
-40 + 13x = -10 + 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.
-40 + 13x + -5x = -10 + 5x + -5x

Combine like terms: 13x + -5x = 8x
-40 + 8x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-40 + 8x = -10 + 0
-40 + 8x = -10

Add '40' to each side of the equation.
-40 + 40 + 8x = -10 + 40

Combine like terms: -40 + 40 = 0
0 + 8x = -10 + 40
8x = -10 + 40

Combine like terms: -10 + 40 = 30
8x = 30

Divide each side by '8'.
x = 3.75

Simplifying
x = 3.75

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