0.8x-0.12(12-2x)=-0.4(x-b)

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Solution for 0.8x-0.12(12-2x)=-0.4(x-b) equation: 


Simplifying
0.8x + -0.12(12 + -2x) = -0.4(x + -1b)
0.8x + (12 * -0.12 + -2x * -0.12) = -0.4(x + -1b)
0.8x + (-1.44 + 0.24x) = -0.4(x + -1b)

Reorder the terms:
-1.44 + 0.8x + 0.24x = -0.4(x + -1b)

Combine like terms: 0.8x + 0.24x = 1.04x
-1.44 + 1.04x = -0.4(x + -1b)

Reorder the terms:
-1.44 + 1.04x = -0.4(-1b + x)
-1.44 + 1.04x = (-1b * -0.4 + x * -0.4)
-1.44 + 1.04x = (0.4b + -0.4x)

Solving
-1.44 + 1.04x = 0.4b + -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.
-1.44 + 1.04x + 0.4x = 0.4b + -0.4x + 0.4x

Combine like terms: 1.04x + 0.4x = 1.44x
-1.44 + 1.44x = 0.4b + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-1.44 + 1.44x = 0.4b + 0.0
-1.44 + 1.44x = 0.4b

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 1.44x = 1.44 + 0.4b

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 1.44x = 1.44 + 0.4b
1.44x = 1.44 + 0.4b

Divide each side by '1.44'.
x = 1 + 0.2777777778b

Simplifying
x = 1 + 0.2777777778b

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