3-2(x-4)=2x-5

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Solution for 3-2(x-4)=2x-5 equation:


Simplifying
3 + -2(x + -4) = 2x + -5

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

Combine like terms: 3 + 8 = 11
11 + -2x = 2x + -5

Reorder the terms:
11 + -2x = -5 + 2x

Solving
11 + -2x = -5 + 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.
11 + -2x + -2x = -5 + 2x + -2x

Combine like terms: -2x + -2x = -4x
11 + -4x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -4x = -5 + 0
11 + -4x = -5

Add '-11' to each side of the equation.
11 + -11 + -4x = -5 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = -5 + -11
-4x = -5 + -11

Combine like terms: -5 + -11 = -16
-4x = -16

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

Simplifying
x = 4

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