3x-4=5-(2x-8)

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Solution for 3x-4=5-(2x-8) equation:


Simplifying
3x + -4 = 5 + -1(2x + -8)

Reorder the terms:
-4 + 3x = 5 + -1(2x + -8)

Reorder the terms:
-4 + 3x = 5 + -1(-8 + 2x)
-4 + 3x = 5 + (-8 * -1 + 2x * -1)
-4 + 3x = 5 + (8 + -2x)

Combine like terms: 5 + 8 = 13
-4 + 3x = 13 + -2x

Solving
-4 + 3x = 13 + -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.
-4 + 3x + 2x = 13 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-4 + 5x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 5x = 13 + 0
-4 + 5x = 13

Add '4' to each side of the equation.
-4 + 4 + 5x = 13 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 13 + 4
5x = 13 + 4

Combine like terms: 13 + 4 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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