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

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


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

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

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

Solving
-2 + -3x = 8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2 + -3x + 5x = 8 + -5x + 5x

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

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

Add '2' to each side of the equation.
-2 + 2 + 2x = 8 + 2

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

Combine like terms: 8 + 2 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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