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

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


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

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

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

Combine like terms: 3x + -4x = -1x
10 + -1x = (x + 3) + -8

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

Remove parenthesis around (3 + x)
10 + -1x = 3 + x + -8

Reorder the terms:
10 + -1x = 3 + -8 + x

Combine like terms: 3 + -8 = -5
10 + -1x = -5 + x

Solving
10 + -1x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -1x + -1x = -5 + x + -1x

Combine like terms: -1x + -1x = -2x
10 + -2x = -5 + x + -1x

Combine like terms: x + -1x = 0
10 + -2x = -5 + 0
10 + -2x = -5

Add '-10' to each side of the equation.
10 + -10 + -2x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -5 + -10
-2x = -5 + -10

Combine like terms: -5 + -10 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5

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