7(7x)-72=5x(10+3)-25x

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Solution for 7(7x)-72=5x(10+3)-25x equation:


Simplifying
7(7x) + -72 = 5x(10 + 3) + -25x

Remove parenthesis around (7x)
7 * 7x + -72 = 5x(10 + 3) + -25x

Multiply 7 * 7
49x + -72 = 5x(10 + 3) + -25x

Reorder the terms:
-72 + 49x = 5x(10 + 3) + -25x

Combine like terms: 10 + 3 = 13
-72 + 49x = 5x(13) + -25x

Reorder the terms for easier multiplication:
-72 + 49x = 5 * 13x + -25x

Multiply 5 * 13
-72 + 49x = 65x + -25x

Combine like terms: 65x + -25x = 40x
-72 + 49x = 40x

Solving
-72 + 49x = 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
-72 + 49x + -40x = 40x + -40x

Combine like terms: 49x + -40x = 9x
-72 + 9x = 40x + -40x

Combine like terms: 40x + -40x = 0
-72 + 9x = 0

Add '72' to each side of the equation.
-72 + 72 + 9x = 0 + 72

Combine like terms: -72 + 72 = 0
0 + 9x = 0 + 72
9x = 0 + 72

Combine like terms: 0 + 72 = 72
9x = 72

Divide each side by '9'.
x = 8

Simplifying
x = 8

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