394x+30=2x-5(3-x)+2

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Solution for 394x+30=2x-5(3-x)+2 equation:


Simplifying
394x + 30 = 2x + -5(3 + -1x) + 2

Reorder the terms:
30 + 394x = 2x + -5(3 + -1x) + 2
30 + 394x = 2x + (3 * -5 + -1x * -5) + 2
30 + 394x = 2x + (-15 + 5x) + 2

Reorder the terms:
30 + 394x = -15 + 2 + 2x + 5x

Combine like terms: -15 + 2 = -13
30 + 394x = -13 + 2x + 5x

Combine like terms: 2x + 5x = 7x
30 + 394x = -13 + 7x

Solving
30 + 394x = -13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
30 + 394x + -7x = -13 + 7x + -7x

Combine like terms: 394x + -7x = 387x
30 + 387x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + 387x = -13 + 0
30 + 387x = -13

Add '-30' to each side of the equation.
30 + -30 + 387x = -13 + -30

Combine like terms: 30 + -30 = 0
0 + 387x = -13 + -30
387x = -13 + -30

Combine like terms: -13 + -30 = -43
387x = -43

Divide each side by '387'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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