7(x-3)=5(x+5)

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


Simplifying
7(x + -3) = 5(x + 5)

Reorder the terms:
7(-3 + x) = 5(x + 5)
(-3 * 7 + x * 7) = 5(x + 5)
(-21 + 7x) = 5(x + 5)

Reorder the terms:
-21 + 7x = 5(5 + x)
-21 + 7x = (5 * 5 + x * 5)
-21 + 7x = (25 + 5x)

Solving
-21 + 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.
-21 + 7x + -5x = 25 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-21 + 2x = 25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-21 + 2x = 25 + 0
-21 + 2x = 25

Add '21' to each side of the equation.
-21 + 21 + 2x = 25 + 21

Combine like terms: -21 + 21 = 0
0 + 2x = 25 + 21
2x = 25 + 21

Combine like terms: 25 + 21 = 46
2x = 46

Divide each side by '2'.
x = 23

Simplifying
x = 23

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