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

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


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

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

Combine like terms: 5 + -3 = 2
2 + -2x = 6 + -1(-3 + -3x)
2 + -2x = 6 + (-3 * -1 + -3x * -1)
2 + -2x = 6 + (3 + 3x)

Combine like terms: 6 + 3 = 9
2 + -2x = 9 + 3x

Solving
2 + -2x = 9 + 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.
2 + -2x + -3x = 9 + 3x + -3x

Combine like terms: -2x + -3x = -5x
2 + -5x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -5x = 9 + 0
2 + -5x = 9

Add '-2' to each side of the equation.
2 + -2 + -5x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 9 + -2
-5x = 9 + -2

Combine like terms: 9 + -2 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

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