x+25=-7(x-7)

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Solution for x+25=-7(x-7) equation:


Simplifying
x + 25 = -7(x + -7)

Reorder the terms:
25 + x = -7(x + -7)

Reorder the terms:
25 + x = -7(-7 + x)
25 + x = (-7 * -7 + x * -7)
25 + x = (49 + -7x)

Solving
25 + x = 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.
25 + x + 7x = 49 + -7x + 7x

Combine like terms: x + 7x = 8x
25 + 8x = 49 + -7x + 7x

Combine like terms: -7x + 7x = 0
25 + 8x = 49 + 0
25 + 8x = 49

Add '-25' to each side of the equation.
25 + -25 + 8x = 49 + -25

Combine like terms: 25 + -25 = 0
0 + 8x = 49 + -25
8x = 49 + -25

Combine like terms: 49 + -25 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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