5-(2x-3)=3x+6

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Solution for 5-(2x-3)=3x+6 equation:


Simplifying
5 + -1(2x + -3) = 3x + 6

Reorder the terms:
5 + -1(-3 + 2x) = 3x + 6
5 + (-3 * -1 + 2x * -1) = 3x + 6
5 + (3 + -2x) = 3x + 6

Combine like terms: 5 + 3 = 8
8 + -2x = 3x + 6

Reorder the terms:
8 + -2x = 6 + 3x

Solving
8 + -2x = 6 + 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.
8 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
8 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -5x = 6 + 0
8 + -5x = 6

Add '-8' to each side of the equation.
8 + -8 + -5x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 6 + -8
-5x = 6 + -8

Combine like terms: 6 + -8 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

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