.4x-3=2x+5

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Solution for .4x-3=2x+5 equation:


Simplifying
0.4x + -3 = 2x + 5

Reorder the terms:
-3 + 0.4x = 2x + 5

Reorder the terms:
-3 + 0.4x = 5 + 2x

Solving
-3 + 0.4x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 0.4x + -2x = 5 + 2x + -2x

Combine like terms: 0.4x + -2x = -1.6x
-3 + -1.6x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + -1.6x = 5 + 0
-3 + -1.6x = 5

Add '3' to each side of the equation.
-3 + 3 + -1.6x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -1.6x = 5 + 3
-1.6x = 5 + 3

Combine like terms: 5 + 3 = 8
-1.6x = 8

Divide each side by '-1.6'.
x = -5

Simplifying
x = -5

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