0.4x-17.7=-2.5x+20

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Solution for 0.4x-17.7=-2.5x+20 equation: 


Simplifying
0.4x + -17.7 = -2.5x + 20

Reorder the terms:
-17.7 + 0.4x = -2.5x + 20

Reorder the terms:
-17.7 + 0.4x = 20 + -2.5x

Solving
-17.7 + 0.4x = 20 + -2.5x

Solving for variable 'x'.

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

Add '2.5x' to each side of the equation.
-17.7 + 0.4x + 2.5x = 20 + -2.5x + 2.5x

Combine like terms: 0.4x + 2.5x = 2.9x
-17.7 + 2.9x = 20 + -2.5x + 2.5x

Combine like terms: -2.5x + 2.5x = 0.0
-17.7 + 2.9x = 20 + 0.0
-17.7 + 2.9x = 20

Add '17.7' to each side of the equation.
-17.7 + 17.7 + 2.9x = 20 + 17.7

Combine like terms: -17.7 + 17.7 = 0.0
0.0 + 2.9x = 20 + 17.7
2.9x = 20 + 17.7

Combine like terms: 20 + 17.7 = 37.7
2.9x = 37.7

Divide each side by '2.9'.
x = 13

Simplifying
x = 13

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