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

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


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

Reorder the terms:
6(2 + x) + 3 = 7(x + 2) + 5
(2 * 6 + x * 6) + 3 = 7(x + 2) + 5
(12 + 6x) + 3 = 7(x + 2) + 5

Reorder the terms:
12 + 3 + 6x = 7(x + 2) + 5

Combine like terms: 12 + 3 = 15
15 + 6x = 7(x + 2) + 5

Reorder the terms:
15 + 6x = 7(2 + x) + 5
15 + 6x = (2 * 7 + x * 7) + 5
15 + 6x = (14 + 7x) + 5

Reorder the terms:
15 + 6x = 14 + 5 + 7x

Combine like terms: 14 + 5 = 19
15 + 6x = 19 + 7x

Solving
15 + 6x = 19 + 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.
15 + 6x + -7x = 19 + 7x + -7x

Combine like terms: 6x + -7x = -1x
15 + -1x = 19 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -1x = 19 + 0
15 + -1x = 19

Add '-15' to each side of the equation.
15 + -15 + -1x = 19 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 19 + -15
-1x = 19 + -15

Combine like terms: 19 + -15 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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