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

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


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

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

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

Combine like terms: 6 + 7 = 13
13 + 3x = 6(x + 2) + 5

Reorder the terms:
13 + 3x = 6(2 + x) + 5
13 + 3x = (2 * 6 + x * 6) + 5
13 + 3x = (12 + 6x) + 5

Reorder the terms:
13 + 3x = 12 + 5 + 6x

Combine like terms: 12 + 5 = 17
13 + 3x = 17 + 6x

Solving
13 + 3x = 17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
13 + 3x + -6x = 17 + 6x + -6x

Combine like terms: 3x + -6x = -3x
13 + -3x = 17 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + -3x = 17 + 0
13 + -3x = 17

Add '-13' to each side of the equation.
13 + -13 + -3x = 17 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 17 + -13
-3x = 17 + -13

Combine like terms: 17 + -13 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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