2x+7(x+1)+5=18+3x+6

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Solution for 2x+7(x+1)+5=18+3x+6 equation:


Simplifying
2x + 7(x + 1) + 5 = 18 + 3x + 6

Reorder the terms:
2x + 7(1 + x) + 5 = 18 + 3x + 6
2x + (1 * 7 + x * 7) + 5 = 18 + 3x + 6
2x + (7 + 7x) + 5 = 18 + 3x + 6

Reorder the terms:
7 + 5 + 2x + 7x = 18 + 3x + 6

Combine like terms: 7 + 5 = 12
12 + 2x + 7x = 18 + 3x + 6

Combine like terms: 2x + 7x = 9x
12 + 9x = 18 + 3x + 6

Reorder the terms:
12 + 9x = 18 + 6 + 3x

Combine like terms: 18 + 6 = 24
12 + 9x = 24 + 3x

Solving
12 + 9x = 24 + 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.
12 + 9x + -3x = 24 + 3x + -3x

Combine like terms: 9x + -3x = 6x
12 + 6x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 6x = 24 + 0
12 + 6x = 24

Add '-12' to each side of the equation.
12 + -12 + 6x = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = 24 + -12
6x = 24 + -12

Combine like terms: 24 + -12 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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