7(4x-2)=5(5x+5)

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Solution for 7(4x-2)=5(5x+5) equation:


Simplifying
7(4x + -2) = 5(5x + 5)

Reorder the terms:
7(-2 + 4x) = 5(5x + 5)
(-2 * 7 + 4x * 7) = 5(5x + 5)
(-14 + 28x) = 5(5x + 5)

Reorder the terms:
-14 + 28x = 5(5 + 5x)
-14 + 28x = (5 * 5 + 5x * 5)
-14 + 28x = (25 + 25x)

Solving
-14 + 28x = 25 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
-14 + 28x + -25x = 25 + 25x + -25x

Combine like terms: 28x + -25x = 3x
-14 + 3x = 25 + 25x + -25x

Combine like terms: 25x + -25x = 0
-14 + 3x = 25 + 0
-14 + 3x = 25

Add '14' to each side of the equation.
-14 + 14 + 3x = 25 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 25 + 14
3x = 25 + 14

Combine like terms: 25 + 14 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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