5x-(4x+6)=2x-17

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Solution for 5x-(4x+6)=2x-17 equation:


Simplifying
5x + -1(4x + 6) = 2x + -17

Reorder the terms:
5x + -1(6 + 4x) = 2x + -17
5x + (6 * -1 + 4x * -1) = 2x + -17
5x + (-6 + -4x) = 2x + -17

Reorder the terms:
-6 + 5x + -4x = 2x + -17

Combine like terms: 5x + -4x = 1x
-6 + 1x = 2x + -17

Reorder the terms:
-6 + 1x = -17 + 2x

Solving
-6 + 1x = -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.
-6 + 1x + -2x = -17 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-6 + -1x = -17 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + -1x = -17 + 0
-6 + -1x = -17

Add '6' to each side of the equation.
-6 + 6 + -1x = -17 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -17 + 6
-1x = -17 + 6

Combine like terms: -17 + 6 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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