2(3x+10)+(6x+6)=2(5x+4)+2(6x-1)

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Solution for 2(3x+10)+(6x+6)=2(5x+4)+2(6x-1) equation:


Simplifying
2(3x + 10) + (6x + 6) = 2(5x + 4) + 2(6x + -1)

Reorder the terms:
2(10 + 3x) + (6x + 6) = 2(5x + 4) + 2(6x + -1)
(10 * 2 + 3x * 2) + (6x + 6) = 2(5x + 4) + 2(6x + -1)
(20 + 6x) + (6x + 6) = 2(5x + 4) + 2(6x + -1)

Reorder the terms:
20 + 6x + (6 + 6x) = 2(5x + 4) + 2(6x + -1)

Remove parenthesis around (6 + 6x)
20 + 6x + 6 + 6x = 2(5x + 4) + 2(6x + -1)

Reorder the terms:
20 + 6 + 6x + 6x = 2(5x + 4) + 2(6x + -1)

Combine like terms: 20 + 6 = 26
26 + 6x + 6x = 2(5x + 4) + 2(6x + -1)

Combine like terms: 6x + 6x = 12x
26 + 12x = 2(5x + 4) + 2(6x + -1)

Reorder the terms:
26 + 12x = 2(4 + 5x) + 2(6x + -1)
26 + 12x = (4 * 2 + 5x * 2) + 2(6x + -1)
26 + 12x = (8 + 10x) + 2(6x + -1)

Reorder the terms:
26 + 12x = 8 + 10x + 2(-1 + 6x)
26 + 12x = 8 + 10x + (-1 * 2 + 6x * 2)
26 + 12x = 8 + 10x + (-2 + 12x)

Reorder the terms:
26 + 12x = 8 + -2 + 10x + 12x

Combine like terms: 8 + -2 = 6
26 + 12x = 6 + 10x + 12x

Combine like terms: 10x + 12x = 22x
26 + 12x = 6 + 22x

Solving
26 + 12x = 6 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
26 + 12x + -22x = 6 + 22x + -22x

Combine like terms: 12x + -22x = -10x
26 + -10x = 6 + 22x + -22x

Combine like terms: 22x + -22x = 0
26 + -10x = 6 + 0
26 + -10x = 6

Add '-26' to each side of the equation.
26 + -26 + -10x = 6 + -26

Combine like terms: 26 + -26 = 0
0 + -10x = 6 + -26
-10x = 6 + -26

Combine like terms: 6 + -26 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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