0.9x-0.1(10-2x)=-0.4(x-5)

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Solution for 0.9x-0.1(10-2x)=-0.4(x-5) equation: 


Simplifying
0.9x + -0.1(10 + -2x) = -0.4(x + -5)
0.9x + (10 * -0.1 + -2x * -0.1) = -0.4(x + -5)
0.9x + (-1 + 0.2x) = -0.4(x + -5)

Reorder the terms:
-1 + 0.9x + 0.2x = -0.4(x + -5)

Combine like terms: 0.9x + 0.2x = 1.1x
-1 + 1.1x = -0.4(x + -5)

Reorder the terms:
-1 + 1.1x = -0.4(-5 + x)
-1 + 1.1x = (-5 * -0.4 + x * -0.4)
-1 + 1.1x = (2 + -0.4x)

Solving
-1 + 1.1x = 2 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-1 + 1.1x + 0.4x = 2 + -0.4x + 0.4x

Combine like terms: 1.1x + 0.4x = 1.5x
-1 + 1.5x = 2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-1 + 1.5x = 2 + 0.0
-1 + 1.5x = 2

Add '1' to each side of the equation.
-1 + 1 + 1.5x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 1.5x = 2 + 1
1.5x = 2 + 1

Combine like terms: 2 + 1 = 3
1.5x = 3

Divide each side by '1.5'.
x = 2

Simplifying
x = 2

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