0.5x-1.5=0.4x-3.6

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Solution for 0.5x-1.5=0.4x-3.6 equation:


Simplifying
0.5x + -1.5 = 0.4x + -3.6

Reorder the terms:
-1.5 + 0.5x = 0.4x + -3.6

Reorder the terms:
-1.5 + 0.5x = -3.6 + 0.4x

Solving
-1.5 + 0.5x = -3.6 + 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.
-1.5 + 0.5x + -0.4x = -3.6 + 0.4x + -0.4x

Combine like terms: 0.5x + -0.4x = 0.1x
-1.5 + 0.1x = -3.6 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-1.5 + 0.1x = -3.6 + 0.0
-1.5 + 0.1x = -3.6

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.1x = -3.6 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.1x = -3.6 + 1.5
0.1x = -3.6 + 1.5

Combine like terms: -3.6 + 1.5 = -2.1
0.1x = -2.1

Divide each side by '0.1'.
x = -21

Simplifying
x = -21

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