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

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


Simplifying
8(x + 5) = 7(x + -7)

Reorder the terms:
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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