7x=5(x+7)-10

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


Simplifying
7x = 5(x + 7) + -10

Reorder the terms:
7x = 5(7 + x) + -10
7x = (7 * 5 + x * 5) + -10
7x = (35 + 5x) + -10

Reorder the terms:
7x = 35 + -10 + 5x

Combine like terms: 35 + -10 = 25
7x = 25 + 5x

Solving
7x = 25 + 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.
7x + -5x = 25 + 5x + -5x

Combine like terms: 7x + -5x = 2x
2x = 25 + 5x + -5x

Combine like terms: 5x + -5x = 0
2x = 25 + 0
2x = 25

Divide each side by '2'.
x = 12.5

Simplifying
x = 12.5

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