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

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


Simplifying
37 + -1(x + 9) = 7x + 4

Reorder the terms:
37 + -1(9 + x) = 7x + 4
37 + (9 * -1 + x * -1) = 7x + 4
37 + (-9 + -1x) = 7x + 4

Combine like terms: 37 + -9 = 28
28 + -1x = 7x + 4

Reorder the terms:
28 + -1x = 4 + 7x

Solving
28 + -1x = 4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
28 + -1x + -7x = 4 + 7x + -7x

Combine like terms: -1x + -7x = -8x
28 + -8x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
28 + -8x = 4 + 0
28 + -8x = 4

Add '-28' to each side of the equation.
28 + -28 + -8x = 4 + -28

Combine like terms: 28 + -28 = 0
0 + -8x = 4 + -28
-8x = 4 + -28

Combine like terms: 4 + -28 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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