3x-.2(x-30)=8x+2

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Solution for 3x-.2(x-30)=8x+2 equation:


Simplifying
3x + -0.2(x + -30) = 8x + 2

Reorder the terms:
3x + -0.2(-30 + x) = 8x + 2
3x + (-30 * -0.2 + x * -0.2) = 8x + 2
3x + (6 + -0.2x) = 8x + 2

Reorder the terms:
6 + 3x + -0.2x = 8x + 2

Combine like terms: 3x + -0.2x = 2.8x
6 + 2.8x = 8x + 2

Reorder the terms:
6 + 2.8x = 2 + 8x

Solving
6 + 2.8x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 2.8x + -8x = 2 + 8x + -8x

Combine like terms: 2.8x + -8x = -5.2x
6 + -5.2x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -5.2x = 2 + 0
6 + -5.2x = 2

Add '-6' to each side of the equation.
6 + -6 + -5.2x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -5.2x = 2 + -6
-5.2x = 2 + -6

Combine like terms: 2 + -6 = -4
-5.2x = -4

Divide each side by '-5.2'.
x = 0.7692307692

Simplifying
x = 0.7692307692

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