1(6x+30)=x+5(x+4)-2x

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Solution for 1(6x+30)=x+5(x+4)-2x equation:


Simplifying
1(6x + 30) = x + 5(x + 4) + -2x

Reorder the terms:
1(30 + 6x) = x + 5(x + 4) + -2x
(30 * 1 + 6x * 1) = x + 5(x + 4) + -2x
(30 + 6x) = x + 5(x + 4) + -2x

Reorder the terms:
30 + 6x = x + 5(4 + x) + -2x
30 + 6x = x + (4 * 5 + x * 5) + -2x
30 + 6x = x + (20 + 5x) + -2x

Reorder the terms:
30 + 6x = 20 + x + 5x + -2x

Combine like terms: x + 5x = 6x
30 + 6x = 20 + 6x + -2x

Combine like terms: 6x + -2x = 4x
30 + 6x = 20 + 4x

Solving
30 + 6x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
30 + 6x + -4x = 20 + 4x + -4x

Combine like terms: 6x + -4x = 2x
30 + 2x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + 2x = 20 + 0
30 + 2x = 20

Add '-30' to each side of the equation.
30 + -30 + 2x = 20 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = 20 + -30
2x = 20 + -30

Combine like terms: 20 + -30 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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