0.2x-0.5(2x+5)=-0.9(x+4)

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Solution for 0.2x-0.5(2x+5)=-0.9(x+4) equation:


Simplifying
0.2x + -0.5(2x + 5) = -0.9(x + 4)

Reorder the terms:
0.2x + -0.5(5 + 2x) = -0.9(x + 4)
0.2x + (5 * -0.5 + 2x * -0.5) = -0.9(x + 4)
0.2x + (-2.5 + -1x) = -0.9(x + 4)

Reorder the terms:
-2.5 + 0.2x + -1x = -0.9(x + 4)

Combine like terms: 0.2x + -1x = -0.8x
-2.5 + -0.8x = -0.9(x + 4)

Reorder the terms:
-2.5 + -0.8x = -0.9(4 + x)
-2.5 + -0.8x = (4 * -0.9 + x * -0.9)
-2.5 + -0.8x = (-3.6 + -0.9x)

Solving
-2.5 + -0.8x = -3.6 + -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.
-2.5 + -0.8x + 0.9x = -3.6 + -0.9x + 0.9x

Combine like terms: -0.8x + 0.9x = 0.1x
-2.5 + 0.1x = -3.6 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-2.5 + 0.1x = -3.6 + 0.0
-2.5 + 0.1x = -3.6

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 0.1x = -3.6 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 0.1x = -3.6 + 2.5
0.1x = -3.6 + 2.5

Combine like terms: -3.6 + 2.5 = -1.1
0.1x = -1.1

Divide each side by '0.1'.
x = -11

Simplifying
x = -11

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