3x-0.2(x-7.1)=(0.4)

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Solution for 3x-0.2(x-7.1)=(0.4) equation:


Simplifying
3x + -0.2(x + -7.1) = (0.4)

Reorder the terms:
3x + -0.2(-7.1 + x) = (0.4)
3x + (-7.1 * -0.2 + x * -0.2) = (0.4)
3x + (1.42 + -0.2x) = (0.4)

Reorder the terms:
1.42 + 3x + -0.2x = (0.4)

Combine like terms: 3x + -0.2x = 2.8x
1.42 + 2.8x = (0.4)
1.42 + 2.8x = 0.4

Solving
1.42 + 2.8x = 0.4

Solving for variable 'x'.

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

Add '-1.42' to each side of the equation.
1.42 + -1.42 + 2.8x = 0.4 + -1.42

Combine like terms: 1.42 + -1.42 = 0.00
0.00 + 2.8x = 0.4 + -1.42
2.8x = 0.4 + -1.42

Combine like terms: 0.4 + -1.42 = -1.02
2.8x = -1.02

Divide each side by '2.8'.
x = -0.3642857143

Simplifying
x = -0.3642857143

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