x+1.5=3x+0.4x+0.1

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Solution for x+1.5=3x+0.4x+0.1 equation: 


Simplifying
x + 1.5 = 3x + 0.4x + 0.1

Reorder the terms:
1.5 + x = 3x + 0.4x + 0.1

Reorder the terms:
1.5 + x = 0.1 + 3x + 0.4x

Combine like terms: 3x + 0.4x = 3.4x
1.5 + x = 0.1 + 3.4x

Solving
1.5 + x = 0.1 + 3.4x

Solving for variable 'x'.

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

Add '-3.4x' to each side of the equation.
1.5 + x + -3.4x = 0.1 + 3.4x + -3.4x

Combine like terms: x + -3.4x = -2.4x
1.5 + -2.4x = 0.1 + 3.4x + -3.4x

Combine like terms: 3.4x + -3.4x = 0.0
1.5 + -2.4x = 0.1 + 0.0
1.5 + -2.4x = 0.1

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -2.4x = 0.1 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2.4x = 0.1 + -1.5
-2.4x = 0.1 + -1.5

Combine like terms: 0.1 + -1.5 = -1.4
-2.4x = -1.4

Divide each side by '-2.4'.
x = 0.5833333333

Simplifying
x = 0.5833333333

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