(7x+7)-2(x+3)=(3x+14)

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Solution for (7x+7)-2(x+3)=(3x+14) equation:


Simplifying
(7x + 7) + -2(x + 3) = (3x + 14)

Reorder the terms:
(7 + 7x) + -2(x + 3) = (3x + 14)

Remove parenthesis around (7 + 7x)
7 + 7x + -2(x + 3) = (3x + 14)

Reorder the terms:
7 + 7x + -2(3 + x) = (3x + 14)
7 + 7x + (3 * -2 + x * -2) = (3x + 14)
7 + 7x + (-6 + -2x) = (3x + 14)

Reorder the terms:
7 + -6 + 7x + -2x = (3x + 14)

Combine like terms: 7 + -6 = 1
1 + 7x + -2x = (3x + 14)

Combine like terms: 7x + -2x = 5x
1 + 5x = (3x + 14)

Reorder the terms:
1 + 5x = (14 + 3x)

Remove parenthesis around (14 + 3x)
1 + 5x = 14 + 3x

Solving
1 + 5x = 14 + 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.
1 + 5x + -3x = 14 + 3x + -3x

Combine like terms: 5x + -3x = 2x
1 + 2x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 2x = 14 + 0
1 + 2x = 14

Add '-1' to each side of the equation.
1 + -1 + 2x = 14 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 14 + -1
2x = 14 + -1

Combine like terms: 14 + -1 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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