2.5(x+6)=6.0+1.6x

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Solution for 2.5(x+6)=6.0+1.6x equation:


Simplifying
2.5(x + 6) = 6.0 + 1.6x

Reorder the terms:
2.5(6 + x) = 6.0 + 1.6x
(6 * 2.5 + x * 2.5) = 6.0 + 1.6x
(15 + 2.5x) = 6.0 + 1.6x

Solving
15 + 2.5x = 6.0 + 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.
15 + 2.5x + -1.6x = 6.0 + 1.6x + -1.6x

Combine like terms: 2.5x + -1.6x = 0.9x
15 + 0.9x = 6.0 + 1.6x + -1.6x

Combine like terms: 1.6x + -1.6x = 0.0
15 + 0.9x = 6.0 + 0.0
15 + 0.9x = 6.0

Add '-15' to each side of the equation.
15 + -15 + 0.9x = 6.0 + -15

Combine like terms: 15 + -15 = 0
0 + 0.9x = 6.0 + -15
0.9x = 6.0 + -15

Combine like terms: 6.0 + -15 = -9
0.9x = -9

Divide each side by '0.9'.
x = -10

Simplifying
x = -10

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