6-2x-3=2(x-4)

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Solution for 6-2x-3=2(x-4) equation:


Simplifying
6 + -2x + -3 = 2(x + -4)

Reorder the terms:
6 + -3 + -2x = 2(x + -4)

Combine like terms: 6 + -3 = 3
3 + -2x = 2(x + -4)

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

Solving
3 + -2x = -8 + 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.
3 + -2x + -2x = -8 + 2x + -2x

Combine like terms: -2x + -2x = -4x
3 + -4x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -4x = -8 + 0
3 + -4x = -8

Add '-3' to each side of the equation.
3 + -3 + -4x = -8 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -8 + -3
-4x = -8 + -3

Combine like terms: -8 + -3 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

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