1.4(x-3)+0.2(2x-1)=0.1

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Solution for 1.4(x-3)+0.2(2x-1)=0.1 equation: 


Simplifying
1.4(x + -3) + 0.2(2x + -1) = 0.1

Reorder the terms:
1.4(-3 + x) + 0.2(2x + -1) = 0.1
(-3 * 1.4 + x * 1.4) + 0.2(2x + -1) = 0.1
(-4.2 + 1.4x) + 0.2(2x + -1) = 0.1

Reorder the terms:
-4.2 + 1.4x + 0.2(-1 + 2x) = 0.1
-4.2 + 1.4x + (-1 * 0.2 + 2x * 0.2) = 0.1
-4.2 + 1.4x + (-0.2 + 0.4x) = 0.1

Reorder the terms:
-4.2 + -0.2 + 1.4x + 0.4x = 0.1

Combine like terms: -4.2 + -0.2 = -4.4
-4.4 + 1.4x + 0.4x = 0.1

Combine like terms: 1.4x + 0.4x = 1.8x
-4.4 + 1.8x = 0.1

Solving
-4.4 + 1.8x = 0.1

Solving for variable 'x'.

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

Add '4.4' to each side of the equation.
-4.4 + 4.4 + 1.8x = 0.1 + 4.4

Combine like terms: -4.4 + 4.4 = 0.0
0.0 + 1.8x = 0.1 + 4.4
1.8x = 0.1 + 4.4

Combine like terms: 0.1 + 4.4 = 4.5
1.8x = 4.5

Divide each side by '1.8'.
x = 2.5

Simplifying
x = 2.5

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