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

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


Simplifying
4 + -1(3x + -8) = 2x + -17

Reorder the terms:
4 + -1(-8 + 3x) = 2x + -17
4 + (-8 * -1 + 3x * -1) = 2x + -17
4 + (8 + -3x) = 2x + -17

Combine like terms: 4 + 8 = 12
12 + -3x = 2x + -17

Reorder the terms:
12 + -3x = -17 + 2x

Solving
12 + -3x = -17 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + -3x + -2x = -17 + 2x + -2x

Combine like terms: -3x + -2x = -5x
12 + -5x = -17 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -5x = -17 + 0
12 + -5x = -17

Add '-12' to each side of the equation.
12 + -12 + -5x = -17 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -17 + -12
-5x = -17 + -12

Combine like terms: -17 + -12 = -29
-5x = -29

Divide each side by '-5'.
x = 5.8

Simplifying
x = 5.8

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