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

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


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

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

Reorder the terms:
2 + 3x = 2(-5 + x) + 8
2 + 3x = (-5 * 2 + x * 2) + 8
2 + 3x = (-10 + 2x) + 8

Reorder the terms:
2 + 3x = -10 + 8 + 2x

Combine like terms: -10 + 8 = -2
2 + 3x = -2 + 2x

Solving
2 + 3x = -2 + 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.
2 + 3x + -2x = -2 + 2x + -2x

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

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

Add '-2' to each side of the equation.
2 + -2 + 1x = -2 + -2

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

Combine like terms: -2 + -2 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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