6(x+3)+9=7(x+2)+10

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Solution for 6(x+3)+9=7(x+2)+10 equation:


Simplifying
6(x + 3) + 9 = 7(x + 2) + 10

Reorder the terms:
6(3 + x) + 9 = 7(x + 2) + 10
(3 * 6 + x * 6) + 9 = 7(x + 2) + 10
(18 + 6x) + 9 = 7(x + 2) + 10

Reorder the terms:
18 + 9 + 6x = 7(x + 2) + 10

Combine like terms: 18 + 9 = 27
27 + 6x = 7(x + 2) + 10

Reorder the terms:
27 + 6x = 7(2 + x) + 10
27 + 6x = (2 * 7 + x * 7) + 10
27 + 6x = (14 + 7x) + 10

Reorder the terms:
27 + 6x = 14 + 10 + 7x

Combine like terms: 14 + 10 = 24
27 + 6x = 24 + 7x

Solving
27 + 6x = 24 + 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.
27 + 6x + -7x = 24 + 7x + -7x

Combine like terms: 6x + -7x = -1x
27 + -1x = 24 + 7x + -7x

Combine like terms: 7x + -7x = 0
27 + -1x = 24 + 0
27 + -1x = 24

Add '-27' to each side of the equation.
27 + -27 + -1x = 24 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 24 + -27
-1x = 24 + -27

Combine like terms: 24 + -27 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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