6x-(4x+8)=3x-17

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Solution for 6x-(4x+8)=3x-17 equation:


Simplifying
6x + -1(4x + 8) = 3x + -17

Reorder the terms:
6x + -1(8 + 4x) = 3x + -17
6x + (8 * -1 + 4x * -1) = 3x + -17
6x + (-8 + -4x) = 3x + -17

Reorder the terms:
-8 + 6x + -4x = 3x + -17

Combine like terms: 6x + -4x = 2x
-8 + 2x = 3x + -17

Reorder the terms:
-8 + 2x = -17 + 3x

Solving
-8 + 2x = -17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 2x + -3x = -17 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-8 + -1x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -1x = -17 + 0
-8 + -1x = -17

Add '8' to each side of the equation.
-8 + 8 + -1x = -17 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -17 + 8
-1x = -17 + 8

Combine like terms: -17 + 8 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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