9x+4=8(x-4)-1

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Solution for 9x+4=8(x-4)-1 equation:


Simplifying
9x + 4 = 8(x + -4) + -1

Reorder the terms:
4 + 9x = 8(x + -4) + -1

Reorder the terms:
4 + 9x = 8(-4 + x) + -1
4 + 9x = (-4 * 8 + x * 8) + -1
4 + 9x = (-32 + 8x) + -1

Reorder the terms:
4 + 9x = -32 + -1 + 8x

Combine like terms: -32 + -1 = -33
4 + 9x = -33 + 8x

Solving
4 + 9x = -33 + 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.
4 + 9x + -8x = -33 + 8x + -8x

Combine like terms: 9x + -8x = 1x
4 + 1x = -33 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + 1x = -33 + 0
4 + 1x = -33

Add '-4' to each side of the equation.
4 + -4 + 1x = -33 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -33 + -4
1x = -33 + -4

Combine like terms: -33 + -4 = -37
1x = -37

Divide each side by '1'.
x = -37

Simplifying
x = -37

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