(5-3x)-(-4x+6)=5x+17

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Solution for (5-3x)-(-4x+6)=5x+17 equation:


Simplifying
(5 + -3x) + -1(-4x + 6) = 5x + 17

Remove parenthesis around (5 + -3x)
5 + -3x + -1(-4x + 6) = 5x + 17

Reorder the terms:
5 + -3x + -1(6 + -4x) = 5x + 17
5 + -3x + (6 * -1 + -4x * -1) = 5x + 17
5 + -3x + (-6 + 4x) = 5x + 17

Reorder the terms:
5 + -6 + -3x + 4x = 5x + 17

Combine like terms: 5 + -6 = -1
-1 + -3x + 4x = 5x + 17

Combine like terms: -3x + 4x = 1x
-1 + 1x = 5x + 17

Reorder the terms:
-1 + 1x = 17 + 5x

Solving
-1 + 1x = 17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1 + 1x + -5x = 17 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-1 + -4x = 17 + 0
-1 + -4x = 17

Add '1' to each side of the equation.
-1 + 1 + -4x = 17 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 17 + 1
-4x = 17 + 1

Combine like terms: 17 + 1 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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