7(3x-9)=11(4x+7)

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Solution for 7(3x-9)=11(4x+7) equation:


Simplifying
7(3x + -9) = 11(4x + 7)

Reorder the terms:
7(-9 + 3x) = 11(4x + 7)
(-9 * 7 + 3x * 7) = 11(4x + 7)
(-63 + 21x) = 11(4x + 7)

Reorder the terms:
-63 + 21x = 11(7 + 4x)
-63 + 21x = (7 * 11 + 4x * 11)
-63 + 21x = (77 + 44x)

Solving
-63 + 21x = 77 + 44x

Solving for variable 'x'.

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

Add '-44x' to each side of the equation.
-63 + 21x + -44x = 77 + 44x + -44x

Combine like terms: 21x + -44x = -23x
-63 + -23x = 77 + 44x + -44x

Combine like terms: 44x + -44x = 0
-63 + -23x = 77 + 0
-63 + -23x = 77

Add '63' to each side of the equation.
-63 + 63 + -23x = 77 + 63

Combine like terms: -63 + 63 = 0
0 + -23x = 77 + 63
-23x = 77 + 63

Combine like terms: 77 + 63 = 140
-23x = 140

Divide each side by '-23'.
x = -6.086956522

Simplifying
x = -6.086956522

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