7x-7(x-7)=24+5x

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Solution for 7x-7(x-7)=24+5x equation:


Simplifying
7x + -7(x + -7) = 24 + 5x

Reorder the terms:
7x + -7(-7 + x) = 24 + 5x
7x + (-7 * -7 + x * -7) = 24 + 5x
7x + (49 + -7x) = 24 + 5x

Reorder the terms:
49 + 7x + -7x = 24 + 5x

Combine like terms: 7x + -7x = 0
49 + 0 = 24 + 5x
49 = 24 + 5x

Solving
49 = 24 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
49 + -5x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
49 + -5x = 24 + 0
49 + -5x = 24

Add '-49' to each side of the equation.
49 + -49 + -5x = 24 + -49

Combine like terms: 49 + -49 = 0
0 + -5x = 24 + -49
-5x = 24 + -49

Combine like terms: 24 + -49 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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