(2x-7)7=9(2x-11)

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


Simplifying
(2x + -7) * 7 = 9(2x + -11)

Reorder the terms:
(-7 + 2x) * 7 = 9(2x + -11)

Reorder the terms for easier multiplication:
7(-7 + 2x) = 9(2x + -11)
(-7 * 7 + 2x * 7) = 9(2x + -11)
(-49 + 14x) = 9(2x + -11)

Reorder the terms:
-49 + 14x = 9(-11 + 2x)
-49 + 14x = (-11 * 9 + 2x * 9)
-49 + 14x = (-99 + 18x)

Solving
-49 + 14x = -99 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-49 + 14x + -18x = -99 + 18x + -18x

Combine like terms: 14x + -18x = -4x
-49 + -4x = -99 + 18x + -18x

Combine like terms: 18x + -18x = 0
-49 + -4x = -99 + 0
-49 + -4x = -99

Add '49' to each side of the equation.
-49 + 49 + -4x = -99 + 49

Combine like terms: -49 + 49 = 0
0 + -4x = -99 + 49
-4x = -99 + 49

Combine like terms: -99 + 49 = -50
-4x = -50

Divide each side by '-4'.
x = 12.5

Simplifying
x = 12.5

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