0.3x+0.7(40-x)=x-14

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Solution for 0.3x+0.7(40-x)=x-14 equation: 


Simplifying
0.3x + 0.7(40 + -1x) = x + -14
0.3x + (40 * 0.7 + -1x * 0.7) = x + -14
0.3x + (28 + -0.7x) = x + -14

Reorder the terms:
28 + 0.3x + -0.7x = x + -14

Combine like terms: 0.3x + -0.7x = -0.4x
28 + -0.4x = x + -14

Reorder the terms:
28 + -0.4x = -14 + x

Solving
28 + -0.4x = -14 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
28 + -0.4x + -1x = -14 + x + -1x

Combine like terms: -0.4x + -1x = -1.4x
28 + -1.4x = -14 + x + -1x

Combine like terms: x + -1x = 0
28 + -1.4x = -14 + 0
28 + -1.4x = -14

Add '-28' to each side of the equation.
28 + -28 + -1.4x = -14 + -28

Combine like terms: 28 + -28 = 0
0 + -1.4x = -14 + -28
-1.4x = -14 + -28

Combine like terms: -14 + -28 = -42
-1.4x = -42

Divide each side by '-1.4'.
x = 30

Simplifying
x = 30

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