0.7(x-2)+0.3(x-0.2)=0.4

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Solution for 0.7(x-2)+0.3(x-0.2)=0.4 equation: 


Simplifying
0.7(x + -2) + 0.3(x + -0.2) = 0.4

Reorder the terms:
0.7(-2 + x) + 0.3(x + -0.2) = 0.4
(-2 * 0.7 + x * 0.7) + 0.3(x + -0.2) = 0.4
(-1.4 + 0.7x) + 0.3(x + -0.2) = 0.4

Reorder the terms:
-1.4 + 0.7x + 0.3(-0.2 + x) = 0.4
-1.4 + 0.7x + (-0.2 * 0.3 + x * 0.3) = 0.4
-1.4 + 0.7x + (-0.06 + 0.3x) = 0.4

Reorder the terms:
-1.4 + -0.06 + 0.7x + 0.3x = 0.4

Combine like terms: -1.4 + -0.06 = -1.46
-1.46 + 0.7x + 0.3x = 0.4

Combine like terms: 0.7x + 0.3x = 1x
-1.46 + 1x = 0.4

Solving
-1.46 + 1x = 0.4

Solving for variable 'x'.

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

Add '1.46' to each side of the equation.
-1.46 + 1.46 + 1x = 0.4 + 1.46

Combine like terms: -1.46 + 1.46 = 0.00
0.00 + 1x = 0.4 + 1.46
1x = 0.4 + 1.46

Combine like terms: 0.4 + 1.46 = 1.86
1x = 1.86

Divide each side by '1'.
x = 1.86

Simplifying
x = 1.86

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