(5x+4)-8(x-2)=17

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Solution for (5x+4)-8(x-2)=17 equation:


Simplifying
(5x + 4) + -8(x + -2) = 17

Reorder the terms:
(4 + 5x) + -8(x + -2) = 17

Remove parenthesis around (4 + 5x)
4 + 5x + -8(x + -2) = 17

Reorder the terms:
4 + 5x + -8(-2 + x) = 17
4 + 5x + (-2 * -8 + x * -8) = 17
4 + 5x + (16 + -8x) = 17

Reorder the terms:
4 + 16 + 5x + -8x = 17

Combine like terms: 4 + 16 = 20
20 + 5x + -8x = 17

Combine like terms: 5x + -8x = -3x
20 + -3x = 17

Solving
20 + -3x = 17

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -3x = 17 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 17 + -20
-3x = 17 + -20

Combine like terms: 17 + -20 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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