2.5(x+6)=10.2+1.9x

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Solution for 2.5(x+6)=10.2+1.9x equation: 


Simplifying
2.5(x + 6) = 10.2 + 1.9x

Reorder the terms:
2.5(6 + x) = 10.2 + 1.9x
(6 * 2.5 + x * 2.5) = 10.2 + 1.9x
(15 + 2.5x) = 10.2 + 1.9x

Solving
15 + 2.5x = 10.2 + 1.9x

Solving for variable 'x'.

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

Add '-1.9x' to each side of the equation.
15 + 2.5x + -1.9x = 10.2 + 1.9x + -1.9x

Combine like terms: 2.5x + -1.9x = 0.6x
15 + 0.6x = 10.2 + 1.9x + -1.9x

Combine like terms: 1.9x + -1.9x = 0.0
15 + 0.6x = 10.2 + 0.0
15 + 0.6x = 10.2

Add '-15' to each side of the equation.
15 + -15 + 0.6x = 10.2 + -15

Combine like terms: 15 + -15 = 0
0 + 0.6x = 10.2 + -15
0.6x = 10.2 + -15

Combine like terms: 10.2 + -15 = -4.8
0.6x = -4.8

Divide each side by '0.6'.
x = -8

Simplifying
x = -8

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