1.3(x+16)=2.6(x+5)

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Solution for 1.3(x+16)=2.6(x+5) equation: 


Simplifying
1.3(x + 16) = 2.6(x + 5)

Reorder the terms:
1.3(16 + x) = 2.6(x + 5)
(16 * 1.3 + x * 1.3) = 2.6(x + 5)
(20.8 + 1.3x) = 2.6(x + 5)

Reorder the terms:
20.8 + 1.3x = 2.6(5 + x)
20.8 + 1.3x = (5 * 2.6 + x * 2.6)
20.8 + 1.3x = (13 + 2.6x)

Solving
20.8 + 1.3x = 13 + 2.6x

Solving for variable 'x'.

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

Add '-2.6x' to each side of the equation.
20.8 + 1.3x + -2.6x = 13 + 2.6x + -2.6x

Combine like terms: 1.3x + -2.6x = -1.3x
20.8 + -1.3x = 13 + 2.6x + -2.6x

Combine like terms: 2.6x + -2.6x = 0.0
20.8 + -1.3x = 13 + 0.0
20.8 + -1.3x = 13

Add '-20.8' to each side of the equation.
20.8 + -20.8 + -1.3x = 13 + -20.8

Combine like terms: 20.8 + -20.8 = 0.0
0.0 + -1.3x = 13 + -20.8
-1.3x = 13 + -20.8

Combine like terms: 13 + -20.8 = -7.8
-1.3x = -7.8

Divide each side by '-1.3'.
x = 6

Simplifying
x = 6

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