2x+30=-7(4x+4)+x

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Solution for 2x+30=-7(4x+4)+x equation: 


Simplifying
2x + 30 = -7(4x + 4) + x

Reorder the terms:
30 + 2x = -7(4x + 4) + x

Reorder the terms:
30 + 2x = -7(4 + 4x) + x
30 + 2x = (4 * -7 + 4x * -7) + x
30 + 2x = (-28 + -28x) + x

Combine like terms: -28x + x = -27x
30 + 2x = -28 + -27x

Solving
30 + 2x = -28 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
30 + 2x + 27x = -28 + -27x + 27x

Combine like terms: 2x + 27x = 29x
30 + 29x = -28 + -27x + 27x

Combine like terms: -27x + 27x = 0
30 + 29x = -28 + 0
30 + 29x = -28

Add '-30' to each side of the equation.
30 + -30 + 29x = -28 + -30

Combine like terms: 30 + -30 = 0
0 + 29x = -28 + -30
29x = -28 + -30

Combine like terms: -28 + -30 = -58
29x = -58

Divide each side by '29'.
x = -2

Simplifying
x = -2

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