1.5(x-1.2)+0.2x=0.4(x+0.4)+2.33

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Solution for 1.5(x-1.2)+0.2x=0.4(x+0.4)+2.33 equation: 


Simplifying
1.5(x + -1.2) + 0.2x = 0.4(x + 0.4) + 2.33

Reorder the terms:
1.5(-1.2 + x) + 0.2x = 0.4(x + 0.4) + 2.33
(-1.2 * 1.5 + x * 1.5) + 0.2x = 0.4(x + 0.4) + 2.33
(-1.8 + 1.5x) + 0.2x = 0.4(x + 0.4) + 2.33

Combine like terms: 1.5x + 0.2x = 1.7x
-1.8 + 1.7x = 0.4(x + 0.4) + 2.33

Reorder the terms:
-1.8 + 1.7x = 0.4(0.4 + x) + 2.33
-1.8 + 1.7x = (0.4 * 0.4 + x * 0.4) + 2.33
-1.8 + 1.7x = (0.16 + 0.4x) + 2.33

Reorder the terms:
-1.8 + 1.7x = 0.16 + 2.33 + 0.4x

Combine like terms: 0.16 + 2.33 = 2.49
-1.8 + 1.7x = 2.49 + 0.4x

Solving
-1.8 + 1.7x = 2.49 + 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.
-1.8 + 1.7x + -0.4x = 2.49 + 0.4x + -0.4x

Combine like terms: 1.7x + -0.4x = 1.3x
-1.8 + 1.3x = 2.49 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-1.8 + 1.3x = 2.49 + 0.0
-1.8 + 1.3x = 2.49

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 1.3x = 2.49 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 1.3x = 2.49 + 1.8
1.3x = 2.49 + 1.8

Combine like terms: 2.49 + 1.8 = 4.29
1.3x = 4.29

Divide each side by '1.3'.
x = 3.3

Simplifying
x = 3.3

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