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

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


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

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

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

Combine like terms: 4 + 8 = 12
-5 + 2x = 12 + -3x

Solving
-5 + 2x = 12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-5 + 2x + 3x = 12 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-5 + 5x = 12 + -3x + 3x

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

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

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

Combine like terms: 12 + 5 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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