2(3x-1)+2(x+1)=(x+7)+3x-2+3x+5

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Solution for 2(3x-1)+2(x+1)=(x+7)+3x-2+3x+5 equation:


Simplifying
2(3x + -1) + 2(x + 1) = (x + 7) + 3x + -2 + 3x + 5

Reorder the terms:
2(-1 + 3x) + 2(x + 1) = (x + 7) + 3x + -2 + 3x + 5
(-1 * 2 + 3x * 2) + 2(x + 1) = (x + 7) + 3x + -2 + 3x + 5
(-2 + 6x) + 2(x + 1) = (x + 7) + 3x + -2 + 3x + 5

Reorder the terms:
-2 + 6x + 2(1 + x) = (x + 7) + 3x + -2 + 3x + 5
-2 + 6x + (1 * 2 + x * 2) = (x + 7) + 3x + -2 + 3x + 5
-2 + 6x + (2 + 2x) = (x + 7) + 3x + -2 + 3x + 5

Reorder the terms:
-2 + 2 + 6x + 2x = (x + 7) + 3x + -2 + 3x + 5

Combine like terms: -2 + 2 = 0
0 + 6x + 2x = (x + 7) + 3x + -2 + 3x + 5
6x + 2x = (x + 7) + 3x + -2 + 3x + 5

Combine like terms: 6x + 2x = 8x
8x = (x + 7) + 3x + -2 + 3x + 5

Reorder the terms:
8x = (7 + x) + 3x + -2 + 3x + 5

Remove parenthesis around (7 + x)
8x = 7 + x + 3x + -2 + 3x + 5

Reorder the terms:
8x = 7 + -2 + 5 + x + 3x + 3x

Combine like terms: 7 + -2 = 5
8x = 5 + 5 + x + 3x + 3x

Combine like terms: 5 + 5 = 10
8x = 10 + x + 3x + 3x

Combine like terms: x + 3x = 4x
8x = 10 + 4x + 3x

Combine like terms: 4x + 3x = 7x
8x = 10 + 7x

Solving
8x = 10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8x + -7x = 10 + 7x + -7x

Combine like terms: 8x + -7x = 1x
1x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
1x = 10 + 0
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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