.4x+3(x-2)=18-x

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Solution for .4x+3(x-2)=18-x equation:


Simplifying
0.4x + 3(x + -2) = 18 + -1x

Reorder the terms:
0.4x + 3(-2 + x) = 18 + -1x
0.4x + (-2 * 3 + x * 3) = 18 + -1x
0.4x + (-6 + 3x) = 18 + -1x

Reorder the terms:
-6 + 0.4x + 3x = 18 + -1x

Combine like terms: 0.4x + 3x = 3.4x
-6 + 3.4x = 18 + -1x

Solving
-6 + 3.4x = 18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 3.4x + x = 18 + -1x + x

Combine like terms: 3.4x + x = 4.4x
-6 + 4.4x = 18 + -1x + x

Combine like terms: -1x + x = 0
-6 + 4.4x = 18 + 0
-6 + 4.4x = 18

Add '6' to each side of the equation.
-6 + 6 + 4.4x = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 4.4x = 18 + 6
4.4x = 18 + 6

Combine like terms: 18 + 6 = 24
4.4x = 24

Divide each side by '4.4'.
x = 5.454545455

Simplifying
x = 5.454545455

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