0.4x-18=1.2x-22

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Solution for 0.4x-18=1.2x-22 equation:


Simplifying
0.4x + -18 = 1.2x + -22

Reorder the terms:
-18 + 0.4x = 1.2x + -22

Reorder the terms:
-18 + 0.4x = -22 + 1.2x

Solving
-18 + 0.4x = -22 + 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.
-18 + 0.4x + -1.2x = -22 + 1.2x + -1.2x

Combine like terms: 0.4x + -1.2x = -0.8x
-18 + -0.8x = -22 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-18 + -0.8x = -22 + 0.0
-18 + -0.8x = -22

Add '18' to each side of the equation.
-18 + 18 + -0.8x = -22 + 18

Combine like terms: -18 + 18 = 0
0 + -0.8x = -22 + 18
-0.8x = -22 + 18

Combine like terms: -22 + 18 = -4
-0.8x = -4

Divide each side by '-0.8'.
x = 5

Simplifying
x = 5

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