1.6x-0.5=1.2x+1.5

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Solution for 1.6x-0.5=1.2x+1.5 equation: 


Simplifying
1.6x + -0.5 = 1.2x + 1.5

Reorder the terms:
-0.5 + 1.6x = 1.2x + 1.5

Reorder the terms:
-0.5 + 1.6x = 1.5 + 1.2x

Solving
-0.5 + 1.6x = 1.5 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-0.5 + 1.6x + -1.2x = 1.5 + 1.2x + -1.2x

Combine like terms: 1.6x + -1.2x = 0.4x
-0.5 + 0.4x = 1.5 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-0.5 + 0.4x = 1.5 + 0.0
-0.5 + 0.4x = 1.5

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.4x = 1.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.4x = 1.5 + 0.5
0.4x = 1.5 + 0.5

Combine like terms: 1.5 + 0.5 = 2
0.4x = 2

Divide each side by '0.4'.
x = 5

Simplifying
x = 5

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