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

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


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

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

Reorder the terms:
-14 + 7x = 5(4 + x)
-14 + 7x = (4 * 5 + x * 5)
-14 + 7x = (20 + 5x)

Solving
-14 + 7x = 20 + 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.
-14 + 7x + -5x = 20 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-14 + 2x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + 2x = 20 + 0
-14 + 2x = 20

Add '14' to each side of the equation.
-14 + 14 + 2x = 20 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 20 + 14
2x = 20 + 14

Combine like terms: 20 + 14 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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