37-x=-8(x-2)

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Solution for 37-x=-8(x-2) equation:


Simplifying
37 + -1x = -8(x + -2)

Reorder the terms:
37 + -1x = -8(-2 + x)
37 + -1x = (-2 * -8 + x * -8)
37 + -1x = (16 + -8x)

Solving
37 + -1x = 16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
37 + -1x + 8x = 16 + -8x + 8x

Combine like terms: -1x + 8x = 7x
37 + 7x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
37 + 7x = 16 + 0
37 + 7x = 16

Add '-37' to each side of the equation.
37 + -37 + 7x = 16 + -37

Combine like terms: 37 + -37 = 0
0 + 7x = 16 + -37
7x = 16 + -37

Combine like terms: 16 + -37 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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