0.4x-0.7(10-3x)=-0.1(x-8)

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Solution for 0.4x-0.7(10-3x)=-0.1(x-8) equation: 


Simplifying
0.4x + -0.7(10 + -3x) = -0.1(x + -8)
0.4x + (10 * -0.7 + -3x * -0.7) = -0.1(x + -8)
0.4x + (-7 + 2.1x) = -0.1(x + -8)

Reorder the terms:
-7 + 0.4x + 2.1x = -0.1(x + -8)

Combine like terms: 0.4x + 2.1x = 2.5x
-7 + 2.5x = -0.1(x + -8)

Reorder the terms:
-7 + 2.5x = -0.1(-8 + x)
-7 + 2.5x = (-8 * -0.1 + x * -0.1)
-7 + 2.5x = (0.8 + -0.1x)

Solving
-7 + 2.5x = 0.8 + -0.1x

Solving for variable 'x'.

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

Add '0.1x' to each side of the equation.
-7 + 2.5x + 0.1x = 0.8 + -0.1x + 0.1x

Combine like terms: 2.5x + 0.1x = 2.6x
-7 + 2.6x = 0.8 + -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
-7 + 2.6x = 0.8 + 0.0
-7 + 2.6x = 0.8

Add '7' to each side of the equation.
-7 + 7 + 2.6x = 0.8 + 7

Combine like terms: -7 + 7 = 0
0 + 2.6x = 0.8 + 7
2.6x = 0.8 + 7

Combine like terms: 0.8 + 7 = 7.8
2.6x = 7.8

Divide each side by '2.6'.
x = 3

Simplifying
x = 3

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