3.1(1-3x)+x=0.4(x-14)

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Solution for 3.1(1-3x)+x=0.4(x-14) equation: 


Simplifying
3.1(1 + -3x) + x = 0.4(x + -14)
(1 * 3.1 + -3x * 3.1) + x = 0.4(x + -14)
(3.1 + -9.3x) + x = 0.4(x + -14)

Combine like terms: -9.3x + x = -8.3x
3.1 + -8.3x = 0.4(x + -14)

Reorder the terms:
3.1 + -8.3x = 0.4(-14 + x)
3.1 + -8.3x = (-14 * 0.4 + x * 0.4)
3.1 + -8.3x = (-5.6 + 0.4x)

Solving
3.1 + -8.3x = -5.6 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
3.1 + -8.3x + -0.4x = -5.6 + 0.4x + -0.4x

Combine like terms: -8.3x + -0.4x = -8.7x
3.1 + -8.7x = -5.6 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
3.1 + -8.7x = -5.6 + 0.0
3.1 + -8.7x = -5.6

Add '-3.1' to each side of the equation.
3.1 + -3.1 + -8.7x = -5.6 + -3.1

Combine like terms: 3.1 + -3.1 = 0.0
0.0 + -8.7x = -5.6 + -3.1
-8.7x = -5.6 + -3.1

Combine like terms: -5.6 + -3.1 = -8.7
-8.7x = -8.7

Divide each side by '-8.7'.
x = 1

Simplifying
x = 1

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