x-.1x-4.9=2.5(x+.6)

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Solution for x-.1x-4.9=2.5(x+.6) equation: 


Simplifying
x + -0.1x + -4.9 = 2.5(x + 0.6)

Reorder the terms:
-4.9 + x + -0.1x = 2.5(x + 0.6)

Combine like terms: x + -0.1x = 0.9x
-4.9 + 0.9x = 2.5(x + 0.6)

Reorder the terms:
-4.9 + 0.9x = 2.5(0.6 + x)
-4.9 + 0.9x = (0.6 * 2.5 + x * 2.5)
-4.9 + 0.9x = (1.5 + 2.5x)

Solving
-4.9 + 0.9x = 1.5 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
-4.9 + 0.9x + -2.5x = 1.5 + 2.5x + -2.5x

Combine like terms: 0.9x + -2.5x = -1.6x
-4.9 + -1.6x = 1.5 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
-4.9 + -1.6x = 1.5 + 0.0
-4.9 + -1.6x = 1.5

Add '4.9' to each side of the equation.
-4.9 + 4.9 + -1.6x = 1.5 + 4.9

Combine like terms: -4.9 + 4.9 = 0.0
0.0 + -1.6x = 1.5 + 4.9
-1.6x = 1.5 + 4.9

Combine like terms: 1.5 + 4.9 = 6.4
-1.6x = 6.4

Divide each side by '-1.6'.
x = -4

Simplifying
x = -4

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