2(x-8)=25-14(x+2)

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Solution for 2(x-8)=25-14(x+2) equation:


Simplifying
2(x + -8) = 25 + -14(x + 2)

Reorder the terms:
2(-8 + x) = 25 + -14(x + 2)
(-8 * 2 + x * 2) = 25 + -14(x + 2)
(-16 + 2x) = 25 + -14(x + 2)

Reorder the terms:
-16 + 2x = 25 + -14(2 + x)
-16 + 2x = 25 + (2 * -14 + x * -14)
-16 + 2x = 25 + (-28 + -14x)

Combine like terms: 25 + -28 = -3
-16 + 2x = -3 + -14x

Solving
-16 + 2x = -3 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-16 + 2x + 14x = -3 + -14x + 14x

Combine like terms: 2x + 14x = 16x
-16 + 16x = -3 + -14x + 14x

Combine like terms: -14x + 14x = 0
-16 + 16x = -3 + 0
-16 + 16x = -3

Add '16' to each side of the equation.
-16 + 16 + 16x = -3 + 16

Combine like terms: -16 + 16 = 0
0 + 16x = -3 + 16
16x = -3 + 16

Combine like terms: -3 + 16 = 13
16x = 13

Divide each side by '16'.
x = 0.8125

Simplifying
x = 0.8125

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