(x+3)-8=2(2x-6)

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Solution for (x+3)-8=2(2x-6) equation:


Simplifying
(x + 3) + -8 = 2(2x + -6)

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

Remove parenthesis around (3 + x)
3 + x + -8 = 2(2x + -6)

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

Combine like terms: 3 + -8 = -5
-5 + x = 2(2x + -6)

Reorder the terms:
-5 + x = 2(-6 + 2x)
-5 + x = (-6 * 2 + 2x * 2)
-5 + x = (-12 + 4x)

Solving
-5 + x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + x + -4x = -12 + 4x + -4x

Combine like terms: x + -4x = -3x
-5 + -3x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -3x = -12 + 0
-5 + -3x = -12

Add '5' to each side of the equation.
-5 + 5 + -3x = -12 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -12 + 5
-3x = -12 + 5

Combine like terms: -12 + 5 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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