37=2(x+6)-7

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Solution for 37=2(x+6)-7 equation:


Simplifying
37 = 2(x + 6) + -7

Reorder the terms:
37 = 2(6 + x) + -7
37 = (6 * 2 + x * 2) + -7
37 = (12 + 2x) + -7

Reorder the terms:
37 = 12 + -7 + 2x

Combine like terms: 12 + -7 = 5
37 = 5 + 2x

Solving
37 = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
37 + -2x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
37 + -2x = 5 + 0
37 + -2x = 5

Add '-37' to each side of the equation.
37 + -37 + -2x = 5 + -37

Combine like terms: 37 + -37 = 0
0 + -2x = 5 + -37
-2x = 5 + -37

Combine like terms: 5 + -37 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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