2(x-8)=25-7(x-2)

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Solution for 2(x-8)=25-7(x-2) equation:


Simplifying
2(x + -8) = 25 + -7(x + -2)

Reorder the terms:
2(-8 + x) = 25 + -7(x + -2)
(-8 * 2 + x * 2) = 25 + -7(x + -2)
(-16 + 2x) = 25 + -7(x + -2)

Reorder the terms:
-16 + 2x = 25 + -7(-2 + x)
-16 + 2x = 25 + (-2 * -7 + x * -7)
-16 + 2x = 25 + (14 + -7x)

Combine like terms: 25 + 14 = 39
-16 + 2x = 39 + -7x

Solving
-16 + 2x = 39 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-16 + 2x + 7x = 39 + -7x + 7x

Combine like terms: 2x + 7x = 9x
-16 + 9x = 39 + -7x + 7x

Combine like terms: -7x + 7x = 0
-16 + 9x = 39 + 0
-16 + 9x = 39

Add '16' to each side of the equation.
-16 + 16 + 9x = 39 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = 39 + 16
9x = 39 + 16

Combine like terms: 39 + 16 = 55
9x = 55

Divide each side by '9'.
x = 6.111111111

Simplifying
x = 6.111111111

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