(6x+20)=x+4+2(x+3)

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Solution for (6x+20)=x+4+2(x+3) equation:


Simplifying
(6x + 20) = x + 4 + 2(x + 3)

Reorder the terms:
(20 + 6x) = x + 4 + 2(x + 3)

Remove parenthesis around (20 + 6x)
20 + 6x = x + 4 + 2(x + 3)

Reorder the terms:
20 + 6x = x + 4 + 2(3 + x)
20 + 6x = x + 4 + (3 * 2 + x * 2)
20 + 6x = x + 4 + (6 + 2x)

Reorder the terms:
20 + 6x = 4 + 6 + x + 2x

Combine like terms: 4 + 6 = 10
20 + 6x = 10 + x + 2x

Combine like terms: x + 2x = 3x
20 + 6x = 10 + 3x

Solving
20 + 6x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + 6x + -3x = 10 + 3x + -3x

Combine like terms: 6x + -3x = 3x
20 + 3x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 3x = 10 + 0
20 + 3x = 10

Add '-20' to each side of the equation.
20 + -20 + 3x = 10 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 10 + -20
3x = 10 + -20

Combine like terms: 10 + -20 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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