6.5(x+3)=(13x+39)

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Solution for 6.5(x+3)=(13x+39) equation: 


Simplifying
6.5(x + 3) = (13x + 39)

Reorder the terms:
6.5(3 + x) = (13x + 39)
(3 * 6.5 + x * 6.5) = (13x + 39)
(19.5 + 6.5x) = (13x + 39)

Reorder the terms:
19.5 + 6.5x = (39 + 13x)

Remove parenthesis around (39 + 13x)
19.5 + 6.5x = 39 + 13x

Solving
19.5 + 6.5x = 39 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
19.5 + 6.5x + -13x = 39 + 13x + -13x

Combine like terms: 6.5x + -13x = -6.5x
19.5 + -6.5x = 39 + 13x + -13x

Combine like terms: 13x + -13x = 0
19.5 + -6.5x = 39 + 0
19.5 + -6.5x = 39

Add '-19.5' to each side of the equation.
19.5 + -19.5 + -6.5x = 39 + -19.5

Combine like terms: 19.5 + -19.5 = 0.0
0.0 + -6.5x = 39 + -19.5
-6.5x = 39 + -19.5

Combine like terms: 39 + -19.5 = 19.5
-6.5x = 19.5

Divide each side by '-6.5'.
x = -3

Simplifying
x = -3

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