2x-(x+5)=3(x-5)+8

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Solution for 2x-(x+5)=3(x-5)+8 equation: 


Simplifying
2x + -1(x + 5) = 3(x + -5) + 8

Reorder the terms:
2x + -1(5 + x) = 3(x + -5) + 8
2x + (5 * -1 + x * -1) = 3(x + -5) + 8
2x + (-5 + -1x) = 3(x + -5) + 8

Reorder the terms:
-5 + 2x + -1x = 3(x + -5) + 8

Combine like terms: 2x + -1x = 1x
-5 + 1x = 3(x + -5) + 8

Reorder the terms:
-5 + 1x = 3(-5 + x) + 8
-5 + 1x = (-5 * 3 + x * 3) + 8
-5 + 1x = (-15 + 3x) + 8

Reorder the terms:
-5 + 1x = -15 + 8 + 3x

Combine like terms: -15 + 8 = -7
-5 + 1x = -7 + 3x

Solving
-5 + 1x = -7 + 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 = -7 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-5 + -2x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + -2x = -7 + 0
-5 + -2x = -7

Add '5' to each side of the equation.
-5 + 5 + -2x = -7 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -7 + 5
-2x = -7 + 5

Combine like terms: -7 + 5 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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