7x-.5(8x+14)=17

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Solution for 7x-.5(8x+14)=17 equation:


Simplifying
7x + -0.5(8x + 14) = 17

Reorder the terms:
7x + -0.5(14 + 8x) = 17
7x + (14 * -0.5 + 8x * -0.5) = 17
7x + (-7 + -4x) = 17

Reorder the terms:
-7 + 7x + -4x = 17

Combine like terms: 7x + -4x = 3x
-7 + 3x = 17

Solving
-7 + 3x = 17

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 3x = 17 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 17 + 7
3x = 17 + 7

Combine like terms: 17 + 7 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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