0.4x-0.1(10-4x)=-0.3(x-4)

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Solution for 0.4x-0.1(10-4x)=-0.3(x-4) equation:


Simplifying
0.4x + -0.1(10 + -4x) = -0.3(x + -4)
0.4x + (10 * -0.1 + -4x * -0.1) = -0.3(x + -4)
0.4x + (-1 + 0.4x) = -0.3(x + -4)

Reorder the terms:
-1 + 0.4x + 0.4x = -0.3(x + -4)

Combine like terms: 0.4x + 0.4x = 0.8x
-1 + 0.8x = -0.3(x + -4)

Reorder the terms:
-1 + 0.8x = -0.3(-4 + x)
-1 + 0.8x = (-4 * -0.3 + x * -0.3)
-1 + 0.8x = (1.2 + -0.3x)

Solving
-1 + 0.8x = 1.2 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-1 + 0.8x + 0.3x = 1.2 + -0.3x + 0.3x

Combine like terms: 0.8x + 0.3x = 1.1x
-1 + 1.1x = 1.2 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-1 + 1.1x = 1.2 + 0.0
-1 + 1.1x = 1.2

Add '1' to each side of the equation.
-1 + 1 + 1.1x = 1.2 + 1

Combine like terms: -1 + 1 = 0
0 + 1.1x = 1.2 + 1
1.1x = 1.2 + 1

Combine like terms: 1.2 + 1 = 2.2
1.1x = 2.2

Divide each side by '1.1'.
x = 2

Simplifying
x = 2

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