(3x-0.4)+(x+1.4)=x+0.1

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Solution for (3x-0.4)+(x+1.4)=x+0.1 equation:


Simplifying
(3x + -0.4) + (x + 1.4) = x + 0.1

Reorder the terms:
(-0.4 + 3x) + (x + 1.4) = x + 0.1

Remove parenthesis around (-0.4 + 3x)
-0.4 + 3x + (x + 1.4) = x + 0.1

Reorder the terms:
-0.4 + 3x + (1.4 + x) = x + 0.1

Remove parenthesis around (1.4 + x)
-0.4 + 3x + 1.4 + x = x + 0.1

Reorder the terms:
-0.4 + 1.4 + 3x + x = x + 0.1

Combine like terms: -0.4 + 1.4 = 1
1 + 3x + x = x + 0.1

Combine like terms: 3x + x = 4x
1 + 4x = x + 0.1

Reorder the terms:
1 + 4x = 0.1 + x

Solving
1 + 4x = 0.1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1 + 4x + -1x = 0.1 + x + -1x

Combine like terms: 4x + -1x = 3x
1 + 3x = 0.1 + x + -1x

Combine like terms: x + -1x = 0
1 + 3x = 0.1 + 0
1 + 3x = 0.1

Add '-1' to each side of the equation.
1 + -1 + 3x = 0.1 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0.1 + -1
3x = 0.1 + -1

Combine like terms: 0.1 + -1 = -0.9
3x = -0.9

Divide each side by '3'.
x = -0.3

Simplifying
x = -0.3

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