0.7x-0.1(12-4x)=-0.5(x-4)

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Solution for 0.7x-0.1(12-4x)=-0.5(x-4) equation: 


Simplifying
0.7x + -0.1(12 + -4x) = -0.5(x + -4)
0.7x + (12 * -0.1 + -4x * -0.1) = -0.5(x + -4)
0.7x + (-1.2 + 0.4x) = -0.5(x + -4)

Reorder the terms:
-1.2 + 0.7x + 0.4x = -0.5(x + -4)

Combine like terms: 0.7x + 0.4x = 1.1x
-1.2 + 1.1x = -0.5(x + -4)

Reorder the terms:
-1.2 + 1.1x = -0.5(-4 + x)
-1.2 + 1.1x = (-4 * -0.5 + x * -0.5)
-1.2 + 1.1x = (2 + -0.5x)

Solving
-1.2 + 1.1x = 2 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-1.2 + 1.1x + 0.5x = 2 + -0.5x + 0.5x

Combine like terms: 1.1x + 0.5x = 1.6x
-1.2 + 1.6x = 2 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-1.2 + 1.6x = 2 + 0.0
-1.2 + 1.6x = 2

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 1.6x = 2 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 1.6x = 2 + 1.2
1.6x = 2 + 1.2

Combine like terms: 2 + 1.2 = 3.2
1.6x = 3.2

Divide each side by '1.6'.
x = 2

Simplifying
x = 2

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