7(6x-9)=9(5x+2)

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Solution for 7(6x-9)=9(5x+2) equation:


Simplifying
7(6x + -9) = 9(5x + 2)

Reorder the terms:
7(-9 + 6x) = 9(5x + 2)
(-9 * 7 + 6x * 7) = 9(5x + 2)
(-63 + 42x) = 9(5x + 2)

Reorder the terms:
-63 + 42x = 9(2 + 5x)
-63 + 42x = (2 * 9 + 5x * 9)
-63 + 42x = (18 + 45x)

Solving
-63 + 42x = 18 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
-63 + 42x + -45x = 18 + 45x + -45x

Combine like terms: 42x + -45x = -3x
-63 + -3x = 18 + 45x + -45x

Combine like terms: 45x + -45x = 0
-63 + -3x = 18 + 0
-63 + -3x = 18

Add '63' to each side of the equation.
-63 + 63 + -3x = 18 + 63

Combine like terms: -63 + 63 = 0
0 + -3x = 18 + 63
-3x = 18 + 63

Combine like terms: 18 + 63 = 81
-3x = 81

Divide each side by '-3'.
x = -27

Simplifying
x = -27

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