9(x+4)=8(x-3)

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Solution for 9(x+4)=8(x-3) equation:


Simplifying
9(x + 4) = 8(x + -3)

Reorder the terms:
9(4 + x) = 8(x + -3)
(4 * 9 + x * 9) = 8(x + -3)
(36 + 9x) = 8(x + -3)

Reorder the terms:
36 + 9x = 8(-3 + x)
36 + 9x = (-3 * 8 + x * 8)
36 + 9x = (-24 + 8x)

Solving
36 + 9x = -24 + 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.
36 + 9x + -8x = -24 + 8x + -8x

Combine like terms: 9x + -8x = 1x
36 + 1x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
36 + 1x = -24 + 0
36 + 1x = -24

Add '-36' to each side of the equation.
36 + -36 + 1x = -24 + -36

Combine like terms: 36 + -36 = 0
0 + 1x = -24 + -36
1x = -24 + -36

Combine like terms: -24 + -36 = -60
1x = -60

Divide each side by '1'.
x = -60

Simplifying
x = -60

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