7(x-7)=9x-37

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Solution for 7(x-7)=9x-37 equation:


Simplifying
7(x + -7) = 9x + -37

Reorder the terms:
7(-7 + x) = 9x + -37
(-7 * 7 + x * 7) = 9x + -37
(-49 + 7x) = 9x + -37

Reorder the terms:
-49 + 7x = -37 + 9x

Solving
-49 + 7x = -37 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-49 + 7x + -9x = -37 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-49 + -2x = -37 + 9x + -9x

Combine like terms: 9x + -9x = 0
-49 + -2x = -37 + 0
-49 + -2x = -37

Add '49' to each side of the equation.
-49 + 49 + -2x = -37 + 49

Combine like terms: -49 + 49 = 0
0 + -2x = -37 + 49
-2x = -37 + 49

Combine like terms: -37 + 49 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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