8(5+X)=7(X-7)

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Solution for 8(5+X)=7(X-7) equation: 


Simplifying
8(5 + X) = 7(X + -7)
(5 * 8 + X * 8) = 7(X + -7)
(40 + 8X) = 7(X + -7)

Reorder the terms:
40 + 8X = 7(-7 + X)
40 + 8X = (-7 * 7 + X * 7)
40 + 8X = (-49 + 7X)

Solving
40 + 8X = -49 + 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.
40 + 8X + -7X = -49 + 7X + -7X

Combine like terms: 8X + -7X = 1X
40 + 1X = -49 + 7X + -7X

Combine like terms: 7X + -7X = 0
40 + 1X = -49 + 0
40 + 1X = -49

Add '-40' to each side of the equation.
40 + -40 + 1X = -49 + -40

Combine like terms: 40 + -40 = 0
0 + 1X = -49 + -40
1X = -49 + -40

Combine like terms: -49 + -40 = -89
1X = -89

Divide each side by '1'.
X = -89

Simplifying
X = -89

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