-(x-3)=5(x-3)+2

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Solution for -(x-3)=5(x-3)+2 equation:


Simplifying
-1(x + -3) = 5(x + -3) + 2

Reorder the terms:
-1(-3 + x) = 5(x + -3) + 2
(-3 * -1 + x * -1) = 5(x + -3) + 2
(3 + -1x) = 5(x + -3) + 2

Reorder the terms:
3 + -1x = 5(-3 + x) + 2
3 + -1x = (-3 * 5 + x * 5) + 2
3 + -1x = (-15 + 5x) + 2

Reorder the terms:
3 + -1x = -15 + 2 + 5x

Combine like terms: -15 + 2 = -13
3 + -1x = -13 + 5x

Solving
3 + -1x = -13 + 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.
3 + -1x + -5x = -13 + 5x + -5x

Combine like terms: -1x + -5x = -6x
3 + -6x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -6x = -13 + 0
3 + -6x = -13

Add '-3' to each side of the equation.
3 + -3 + -6x = -13 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -13 + -3
-6x = -13 + -3

Combine like terms: -13 + -3 = -16
-6x = -16

Divide each side by '-6'.
x = 2.666666667

Simplifying
x = 2.666666667

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