(3x-5)=2.5x+3(x-6)

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Solution for (3x-5)=2.5x+3(x-6) equation:


Simplifying
(3x + -5) = 2.5x + 3(x + -6)

Reorder the terms:
(-5 + 3x) = 2.5x + 3(x + -6)

Remove parenthesis around (-5 + 3x)
-5 + 3x = 2.5x + 3(x + -6)

Reorder the terms:
-5 + 3x = 2.5x + 3(-6 + x)
-5 + 3x = 2.5x + (-6 * 3 + x * 3)
-5 + 3x = 2.5x + (-18 + 3x)

Reorder the terms:
-5 + 3x = -18 + 2.5x + 3x

Combine like terms: 2.5x + 3x = 5.5x
-5 + 3x = -18 + 5.5x

Solving
-5 + 3x = -18 + 5.5x

Solving for variable 'x'.

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

Add '-5.5x' to each side of the equation.
-5 + 3x + -5.5x = -18 + 5.5x + -5.5x

Combine like terms: 3x + -5.5x = -2.5x
-5 + -2.5x = -18 + 5.5x + -5.5x

Combine like terms: 5.5x + -5.5x = 0.0
-5 + -2.5x = -18 + 0.0
-5 + -2.5x = -18

Add '5' to each side of the equation.
-5 + 5 + -2.5x = -18 + 5

Combine like terms: -5 + 5 = 0
0 + -2.5x = -18 + 5
-2.5x = -18 + 5

Combine like terms: -18 + 5 = -13
-2.5x = -13

Divide each side by '-2.5'.
x = 5.2

Simplifying
x = 5.2

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