0.4x-13=1.1x-20

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Solution for 0.4x-13=1.1x-20 equation:


Simplifying
0.4x + -13 = 1.1x + -20

Reorder the terms:
-13 + 0.4x = 1.1x + -20

Reorder the terms:
-13 + 0.4x = -20 + 1.1x

Solving
-13 + 0.4x = -20 + 1.1x

Solving for variable 'x'.

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

Add '-1.1x' to each side of the equation.
-13 + 0.4x + -1.1x = -20 + 1.1x + -1.1x

Combine like terms: 0.4x + -1.1x = -0.7x
-13 + -0.7x = -20 + 1.1x + -1.1x

Combine like terms: 1.1x + -1.1x = 0.0
-13 + -0.7x = -20 + 0.0
-13 + -0.7x = -20

Add '13' to each side of the equation.
-13 + 13 + -0.7x = -20 + 13

Combine like terms: -13 + 13 = 0
0 + -0.7x = -20 + 13
-0.7x = -20 + 13

Combine like terms: -20 + 13 = -7
-0.7x = -7

Divide each side by '-0.7'.
x = 10

Simplifying
x = 10

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