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

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


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

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

Reorder the terms:
-8 + 3x + -2x = 2x + -5

Combine like terms: 3x + -2x = 1x
-8 + 1x = 2x + -5

Reorder the terms:
-8 + 1x = -5 + 2x

Solving
-8 + 1x = -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.
-8 + 1x + -2x = -5 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-8 + -1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + -1x = -5 + 0
-8 + -1x = -5

Add '8' to each side of the equation.
-8 + 8 + -1x = -5 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -5 + 8
-1x = -5 + 8

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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