4x-17=-3(8-2x)

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Solution for 4x-17=-3(8-2x) equation:


Simplifying
4x + -17 = -3(8 + -2x)

Reorder the terms:
-17 + 4x = -3(8 + -2x)
-17 + 4x = (8 * -3 + -2x * -3)
-17 + 4x = (-24 + 6x)

Solving
-17 + 4x = -24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-17 + 4x + -6x = -24 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-17 + -2x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-17 + -2x = -24 + 0
-17 + -2x = -24

Add '17' to each side of the equation.
-17 + 17 + -2x = -24 + 17

Combine like terms: -17 + 17 = 0
0 + -2x = -24 + 17
-2x = -24 + 17

Combine like terms: -24 + 17 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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