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

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


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

Reorder the terms:
3x + -2(-5 + 2x) = 2(x + 3) + -8
3x + (-5 * -2 + 2x * -2) = 2(x + 3) + -8
3x + (10 + -4x) = 2(x + 3) + -8

Reorder the terms:
10 + 3x + -4x = 2(x + 3) + -8

Combine like terms: 3x + -4x = -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 = -3x
10 + -3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -3x = -2 + 0
10 + -3x = -2

Add '-10' to each side of the equation.
10 + -10 + -3x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -2 + -10
-3x = -2 + -10

Combine like terms: -2 + -10 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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