6(7-9x)-3(5+6x)=675

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Solution for 6(7-9x)-3(5+6x)=675 equation:


Simplifying
6(7 + -9x) + -3(5 + 6x) = 675
(7 * 6 + -9x * 6) + -3(5 + 6x) = 675
(42 + -54x) + -3(5 + 6x) = 675
42 + -54x + (5 * -3 + 6x * -3) = 675
42 + -54x + (-15 + -18x) = 675

Reorder the terms:
42 + -15 + -54x + -18x = 675

Combine like terms: 42 + -15 = 27
27 + -54x + -18x = 675

Combine like terms: -54x + -18x = -72x
27 + -72x = 675

Solving
27 + -72x = 675

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -72x = 675 + -27

Combine like terms: 27 + -27 = 0
0 + -72x = 675 + -27
-72x = 675 + -27

Combine like terms: 675 + -27 = 648
-72x = 648

Divide each side by '-72'.
x = -9

Simplifying
x = -9

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