7(x-2)=5(x+8)

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Solution for 7(x-2)=5(x+8) equation:


Simplifying
7(x + -2) = 5(x + 8)

Reorder the terms:
7(-2 + x) = 5(x + 8)
(-2 * 7 + x * 7) = 5(x + 8)
(-14 + 7x) = 5(x + 8)

Reorder the terms:
-14 + 7x = 5(8 + x)
-14 + 7x = (8 * 5 + x * 5)
-14 + 7x = (40 + 5x)

Solving
-14 + 7x = 40 + 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 = 40 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-14 + 2x = 40 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + 2x = 40 + 0
-14 + 2x = 40

Add '14' to each side of the equation.
-14 + 14 + 2x = 40 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 40 + 14
2x = 40 + 14

Combine like terms: 40 + 14 = 54
2x = 54

Divide each side by '2'.
x = 27

Simplifying
x = 27

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