0.3x-0.9(12-3x)=-0.4(x-7)

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Solution for 0.3x-0.9(12-3x)=-0.4(x-7) equation: 


Simplifying
0.3x + -0.9(12 + -3x) = -0.4(x + -7)
0.3x + (12 * -0.9 + -3x * -0.9) = -0.4(x + -7)
0.3x + (-10.8 + 2.7x) = -0.4(x + -7)

Reorder the terms:
-10.8 + 0.3x + 2.7x = -0.4(x + -7)

Combine like terms: 0.3x + 2.7x = 3x
-10.8 + 3x = -0.4(x + -7)

Reorder the terms:
-10.8 + 3x = -0.4(-7 + x)
-10.8 + 3x = (-7 * -0.4 + x * -0.4)
-10.8 + 3x = (2.8 + -0.4x)

Solving
-10.8 + 3x = 2.8 + -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.
-10.8 + 3x + 0.4x = 2.8 + -0.4x + 0.4x

Combine like terms: 3x + 0.4x = 3.4x
-10.8 + 3.4x = 2.8 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-10.8 + 3.4x = 2.8 + 0.0
-10.8 + 3.4x = 2.8

Add '10.8' to each side of the equation.
-10.8 + 10.8 + 3.4x = 2.8 + 10.8

Combine like terms: -10.8 + 10.8 = 0.0
0.0 + 3.4x = 2.8 + 10.8
3.4x = 2.8 + 10.8

Combine like terms: 2.8 + 10.8 = 13.6
3.4x = 13.6

Divide each side by '3.4'.
x = 4

Simplifying
x = 4

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