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

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


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

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

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

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

Solving
5 + 1x = -15 + 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.
5 + 1x + -3x = -15 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
5 + -2x = -15 + 0
5 + -2x = -15

Add '-5' to each side of the equation.
5 + -5 + -2x = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -15 + -5
-2x = -15 + -5

Combine like terms: -15 + -5 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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