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

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


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

Reorder the terms:
9(-3 + 2x) = 7(x + 3) + 7
(-3 * 9 + 2x * 9) = 7(x + 3) + 7
(-27 + 18x) = 7(x + 3) + 7

Reorder the terms:
-27 + 18x = 7(3 + x) + 7
-27 + 18x = (3 * 7 + x * 7) + 7
-27 + 18x = (21 + 7x) + 7

Reorder the terms:
-27 + 18x = 21 + 7 + 7x

Combine like terms: 21 + 7 = 28
-27 + 18x = 28 + 7x

Solving
-27 + 18x = 28 + 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 + 18x + -7x = 28 + 7x + -7x

Combine like terms: 18x + -7x = 11x
-27 + 11x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-27 + 11x = 28 + 0
-27 + 11x = 28

Add '27' to each side of the equation.
-27 + 27 + 11x = 28 + 27

Combine like terms: -27 + 27 = 0
0 + 11x = 28 + 27
11x = 28 + 27

Combine like terms: 28 + 27 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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