9(2x+7)=11(x+19)

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Solution for 9(2x+7)=11(x+19) equation:


Simplifying
9(2x + 7) = 11(x + 19)

Reorder the terms:
9(7 + 2x) = 11(x + 19)
(7 * 9 + 2x * 9) = 11(x + 19)
(63 + 18x) = 11(x + 19)

Reorder the terms:
63 + 18x = 11(19 + x)
63 + 18x = (19 * 11 + x * 11)
63 + 18x = (209 + 11x)

Solving
63 + 18x = 209 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
63 + 18x + -11x = 209 + 11x + -11x

Combine like terms: 18x + -11x = 7x
63 + 7x = 209 + 11x + -11x

Combine like terms: 11x + -11x = 0
63 + 7x = 209 + 0
63 + 7x = 209

Add '-63' to each side of the equation.
63 + -63 + 7x = 209 + -63

Combine like terms: 63 + -63 = 0
0 + 7x = 209 + -63
7x = 209 + -63

Combine like terms: 209 + -63 = 146
7x = 146

Divide each side by '7'.
x = 20.85714286

Simplifying
x = 20.85714286

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