37-(x+7)=8x-6

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Solution for 37-(x+7)=8x-6 equation:


Simplifying
37 + -1(x + 7) = 8x + -6

Reorder the terms:
37 + -1(7 + x) = 8x + -6
37 + (7 * -1 + x * -1) = 8x + -6
37 + (-7 + -1x) = 8x + -6

Combine like terms: 37 + -7 = 30
30 + -1x = 8x + -6

Reorder the terms:
30 + -1x = -6 + 8x

Solving
30 + -1x = -6 + 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.
30 + -1x + -8x = -6 + 8x + -8x

Combine like terms: -1x + -8x = -9x
30 + -9x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + -9x = -6 + 0
30 + -9x = -6

Add '-30' to each side of the equation.
30 + -30 + -9x = -6 + -30

Combine like terms: 30 + -30 = 0
0 + -9x = -6 + -30
-9x = -6 + -30

Combine like terms: -6 + -30 = -36
-9x = -36

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

Simplifying
x = 4

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