9x+7=8(x-3)-1

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Solution for 9x+7=8(x-3)-1 equation:


Simplifying
9x + 7 = 8(x + -3) + -1

Reorder the terms:
7 + 9x = 8(x + -3) + -1

Reorder the terms:
7 + 9x = 8(-3 + x) + -1
7 + 9x = (-3 * 8 + x * 8) + -1
7 + 9x = (-24 + 8x) + -1

Reorder the terms:
7 + 9x = -24 + -1 + 8x

Combine like terms: -24 + -1 = -25
7 + 9x = -25 + 8x

Solving
7 + 9x = -25 + 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.
7 + 9x + -8x = -25 + 8x + -8x

Combine like terms: 9x + -8x = 1x
7 + 1x = -25 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + 1x = -25 + 0
7 + 1x = -25

Add '-7' to each side of the equation.
7 + -7 + 1x = -25 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = -25 + -7
1x = -25 + -7

Combine like terms: -25 + -7 = -32
1x = -32

Divide each side by '1'.
x = -32

Simplifying
x = -32

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