2.5(x+8)=13.7+1.6x

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Solution for 2.5(x+8)=13.7+1.6x equation: 


Simplifying
2.5(x + 8) = 13.7 + 1.6x

Reorder the terms:
2.5(8 + x) = 13.7 + 1.6x
(8 * 2.5 + x * 2.5) = 13.7 + 1.6x
(20 + 2.5x) = 13.7 + 1.6x

Solving
20 + 2.5x = 13.7 + 1.6x

Solving for variable 'x'.

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

Add '-1.6x' to each side of the equation.
20 + 2.5x + -1.6x = 13.7 + 1.6x + -1.6x

Combine like terms: 2.5x + -1.6x = 0.9x
20 + 0.9x = 13.7 + 1.6x + -1.6x

Combine like terms: 1.6x + -1.6x = 0.0
20 + 0.9x = 13.7 + 0.0
20 + 0.9x = 13.7

Add '-20' to each side of the equation.
20 + -20 + 0.9x = 13.7 + -20

Combine like terms: 20 + -20 = 0
0 + 0.9x = 13.7 + -20
0.9x = 13.7 + -20

Combine like terms: 13.7 + -20 = -6.3
0.9x = -6.3

Divide each side by '0.9'.
x = -7

Simplifying
x = -7

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