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

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


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

Reorder the terms:
9(3 + x) = 7(x + 2)
(3 * 9 + x * 9) = 7(x + 2)
(27 + 9x) = 7(x + 2)

Reorder the terms:
27 + 9x = 7(2 + x)
27 + 9x = (2 * 7 + x * 7)
27 + 9x = (14 + 7x)

Solving
27 + 9x = 14 + 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 + 9x + -7x = 14 + 7x + -7x

Combine like terms: 9x + -7x = 2x
27 + 2x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
27 + 2x = 14 + 0
27 + 2x = 14

Add '-27' to each side of the equation.
27 + -27 + 2x = 14 + -27

Combine like terms: 27 + -27 = 0
0 + 2x = 14 + -27
2x = 14 + -27

Combine like terms: 14 + -27 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5

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