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

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


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

Reorder the terms:
4 + -2(3 + x) = 5 + 3(3 + -2x)
4 + (3 * -2 + x * -2) = 5 + 3(3 + -2x)
4 + (-6 + -2x) = 5 + 3(3 + -2x)

Combine like terms: 4 + -6 = -2
-2 + -2x = 5 + 3(3 + -2x)
-2 + -2x = 5 + (3 * 3 + -2x * 3)
-2 + -2x = 5 + (9 + -6x)

Combine like terms: 5 + 9 = 14
-2 + -2x = 14 + -6x

Solving
-2 + -2x = 14 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-2 + -2x + 6x = 14 + -6x + 6x

Combine like terms: -2x + 6x = 4x
-2 + 4x = 14 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 4x = 14 + 0
-2 + 4x = 14

Add '2' to each side of the equation.
-2 + 2 + 4x = 14 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 14 + 2
4x = 14 + 2

Combine like terms: 14 + 2 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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