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

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


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

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

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

Combine like terms: 3x + -2x = 1x
10 + 1x = 2(x + 3) + -8

Reorder the terms:
10 + 1x = 2(3 + x) + -8
10 + 1x = (3 * 2 + x * 2) + -8
10 + 1x = (6 + 2x) + -8

Reorder the terms:
10 + 1x = 6 + -8 + 2x

Combine like terms: 6 + -8 = -2
10 + 1x = -2 + 2x

Solving
10 + 1x = -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.
10 + 1x + -2x = -2 + 2x + -2x

Combine like terms: 1x + -2x = -1x
10 + -1x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -1x = -2 + 0
10 + -1x = -2

Add '-10' to each side of the equation.
10 + -10 + -1x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -2 + -10
-1x = -2 + -10

Combine like terms: -2 + -10 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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