.4x+3=1.20x-13

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Solution for .4x+3=1.20x-13 equation:


Simplifying
0.4x + 3 = 1.20x + -13

Reorder the terms:
3 + 0.4x = 1.20x + -13

Reorder the terms:
3 + 0.4x = -13 + 1.20x

Solving
3 + 0.4x = -13 + 1.20x

Solving for variable 'x'.

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

Add '-1.20x' to each side of the equation.
3 + 0.4x + -1.20x = -13 + 1.20x + -1.20x

Combine like terms: 0.4x + -1.20x = -0.8x
3 + -0.8x = -13 + 1.20x + -1.20x

Combine like terms: 1.20x + -1.20x = 0.00
3 + -0.8x = -13 + 0.00
3 + -0.8x = -13

Add '-3' to each side of the equation.
3 + -3 + -0.8x = -13 + -3

Combine like terms: 3 + -3 = 0
0 + -0.8x = -13 + -3
-0.8x = -13 + -3

Combine like terms: -13 + -3 = -16
-0.8x = -16

Divide each side by '-0.8'.
x = 20

Simplifying
x = 20

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