37-7x=2(4+x)-7

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Solution for 37-7x=2(4+x)-7 equation:


Simplifying
37 + -7x = 2(4 + x) + -7
37 + -7x = (4 * 2 + x * 2) + -7
37 + -7x = (8 + 2x) + -7

Reorder the terms:
37 + -7x = 8 + -7 + 2x

Combine like terms: 8 + -7 = 1
37 + -7x = 1 + 2x

Solving
37 + -7x = 1 + 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 + -7x + -2x = 1 + 2x + -2x

Combine like terms: -7x + -2x = -9x
37 + -9x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
37 + -9x = 1 + 0
37 + -9x = 1

Add '-37' to each side of the equation.
37 + -37 + -9x = 1 + -37

Combine like terms: 37 + -37 = 0
0 + -9x = 1 + -37
-9x = 1 + -37

Combine like terms: 1 + -37 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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