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

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


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

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

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

Reorder the terms:
6 + 2x = 14 + 2 + 7x

Combine like terms: 14 + 2 = 16
6 + 2x = 16 + 7x

Solving
6 + 2x = 16 + 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.
6 + 2x + -7x = 16 + 7x + -7x

Combine like terms: 2x + -7x = -5x
6 + -5x = 16 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -5x = 16 + 0
6 + -5x = 16

Add '-6' to each side of the equation.
6 + -6 + -5x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 16 + -6
-5x = 16 + -6

Combine like terms: 16 + -6 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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