0.2x-0.5(2x+7)=-0.9(x+2)

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Solution for 0.2x-0.5(2x+7)=-0.9(x+2) equation: 


Simplifying
0.2x + -0.5(2x + 7) = -0.9(x + 2)

Reorder the terms:
0.2x + -0.5(7 + 2x) = -0.9(x + 2)
0.2x + (7 * -0.5 + 2x * -0.5) = -0.9(x + 2)
0.2x + (-3.5 + -1x) = -0.9(x + 2)

Reorder the terms:
-3.5 + 0.2x + -1x = -0.9(x + 2)

Combine like terms: 0.2x + -1x = -0.8x
-3.5 + -0.8x = -0.9(x + 2)

Reorder the terms:
-3.5 + -0.8x = -0.9(2 + x)
-3.5 + -0.8x = (2 * -0.9 + x * -0.9)
-3.5 + -0.8x = (-1.8 + -0.9x)

Solving
-3.5 + -0.8x = -1.8 + -0.9x

Solving for variable 'x'.

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

Add '0.9x' to each side of the equation.
-3.5 + -0.8x + 0.9x = -1.8 + -0.9x + 0.9x

Combine like terms: -0.8x + 0.9x = 0.1x
-3.5 + 0.1x = -1.8 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-3.5 + 0.1x = -1.8 + 0.0
-3.5 + 0.1x = -1.8

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 0.1x = -1.8 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 0.1x = -1.8 + 3.5
0.1x = -1.8 + 3.5

Combine like terms: -1.8 + 3.5 = 1.7
0.1x = 1.7

Divide each side by '0.1'.
x = 17

Simplifying
x = 17

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