0.1x-0.7(10-3x)=-0.9(x-6)

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Solution for 0.1x-0.7(10-3x)=-0.9(x-6) equation: 


Simplifying
0.1x + -0.7(10 + -3x) = -0.9(x + -6)
0.1x + (10 * -0.7 + -3x * -0.7) = -0.9(x + -6)
0.1x + (-7 + 2.1x) = -0.9(x + -6)

Reorder the terms:
-7 + 0.1x + 2.1x = -0.9(x + -6)

Combine like terms: 0.1x + 2.1x = 2.2x
-7 + 2.2x = -0.9(x + -6)

Reorder the terms:
-7 + 2.2x = -0.9(-6 + x)
-7 + 2.2x = (-6 * -0.9 + x * -0.9)
-7 + 2.2x = (5.4 + -0.9x)

Solving
-7 + 2.2x = 5.4 + -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.
-7 + 2.2x + 0.9x = 5.4 + -0.9x + 0.9x

Combine like terms: 2.2x + 0.9x = 3.1x
-7 + 3.1x = 5.4 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-7 + 3.1x = 5.4 + 0.0
-7 + 3.1x = 5.4

Add '7' to each side of the equation.
-7 + 7 + 3.1x = 5.4 + 7

Combine like terms: -7 + 7 = 0
0 + 3.1x = 5.4 + 7
3.1x = 5.4 + 7

Combine like terms: 5.4 + 7 = 12.4
3.1x = 12.4

Divide each side by '3.1'.
x = 4

Simplifying
x = 4

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