37=9(4x-7)+5

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Solution for 37=9(4x-7)+5 equation:


Simplifying
37 = 9(4x + -7) + 5

Reorder the terms:
37 = 9(-7 + 4x) + 5
37 = (-7 * 9 + 4x * 9) + 5
37 = (-63 + 36x) + 5

Reorder the terms:
37 = -63 + 5 + 36x

Combine like terms: -63 + 5 = -58
37 = -58 + 36x

Solving
37 = -58 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
37 + -36x = -58 + 36x + -36x

Combine like terms: 36x + -36x = 0
37 + -36x = -58 + 0
37 + -36x = -58

Add '-37' to each side of the equation.
37 + -37 + -36x = -58 + -37

Combine like terms: 37 + -37 = 0
0 + -36x = -58 + -37
-36x = -58 + -37

Combine like terms: -58 + -37 = -95
-36x = -95

Divide each side by '-36'.
x = 2.638888889

Simplifying
x = 2.638888889

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