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

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


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

Reorder the terms:
5 + -1x = 2(-3 + x) + 5
5 + -1x = (-3 * 2 + x * 2) + 5
5 + -1x = (-6 + 2x) + 5

Reorder the terms:
5 + -1x = -6 + 5 + 2x

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

Solving
5 + -1x = -1 + 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.
5 + -1x + -2x = -1 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
5 + -3x = -1 + 0
5 + -3x = -1

Add '-5' to each side of the equation.
5 + -5 + -3x = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -1 + -5
-3x = -1 + -5

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

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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