2(x+3)+2(x-1)=(x+10)

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


Simplifying
2(x + 3) + 2(x + -1) = (x + 10)

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

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

Reorder the terms:
6 + -2 + 2x + 2x = (x + 10)

Combine like terms: 6 + -2 = 4
4 + 2x + 2x = (x + 10)

Combine like terms: 2x + 2x = 4x
4 + 4x = (x + 10)

Reorder the terms:
4 + 4x = (10 + x)

Remove parenthesis around (10 + x)
4 + 4x = 10 + x

Solving
4 + 4x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 4x + -1x = 10 + x + -1x

Combine like terms: 4x + -1x = 3x
4 + 3x = 10 + x + -1x

Combine like terms: x + -1x = 0
4 + 3x = 10 + 0
4 + 3x = 10

Add '-4' to each side of the equation.
4 + -4 + 3x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 10 + -4
3x = 10 + -4

Combine like terms: 10 + -4 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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