x+2=3x-10(2-x)-5

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Solution for x+2=3x-10(2-x)-5 equation:


Simplifying
x + 2 = 3x + -10(2 + -1x) + -5

Reorder the terms:
2 + x = 3x + -10(2 + -1x) + -5
2 + x = 3x + (2 * -10 + -1x * -10) + -5
2 + x = 3x + (-20 + 10x) + -5

Reorder the terms:
2 + x = -20 + -5 + 3x + 10x

Combine like terms: -20 + -5 = -25
2 + x = -25 + 3x + 10x

Combine like terms: 3x + 10x = 13x
2 + x = -25 + 13x

Solving
2 + x = -25 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
2 + x + -13x = -25 + 13x + -13x

Combine like terms: x + -13x = -12x
2 + -12x = -25 + 13x + -13x

Combine like terms: 13x + -13x = 0
2 + -12x = -25 + 0
2 + -12x = -25

Add '-2' to each side of the equation.
2 + -2 + -12x = -25 + -2

Combine like terms: 2 + -2 = 0
0 + -12x = -25 + -2
-12x = -25 + -2

Combine like terms: -25 + -2 = -27
-12x = -27

Divide each side by '-12'.
x = 2.25

Simplifying
x = 2.25

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