3x-2(3+2x)=6-(5x-4)

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Solution for 3x-2(3+2x)=6-(5x-4) equation:


Simplifying
3x + -2(3 + 2x) = 6 + -1(5x + -4)
3x + (3 * -2 + 2x * -2) = 6 + -1(5x + -4)
3x + (-6 + -4x) = 6 + -1(5x + -4)

Reorder the terms:
-6 + 3x + -4x = 6 + -1(5x + -4)

Combine like terms: 3x + -4x = -1x
-6 + -1x = 6 + -1(5x + -4)

Reorder the terms:
-6 + -1x = 6 + -1(-4 + 5x)
-6 + -1x = 6 + (-4 * -1 + 5x * -1)
-6 + -1x = 6 + (4 + -5x)

Combine like terms: 6 + 4 = 10
-6 + -1x = 10 + -5x

Solving
-6 + -1x = 10 + -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.
-6 + -1x + 5x = 10 + -5x + 5x

Combine like terms: -1x + 5x = 4x
-6 + 4x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 4x = 10 + 0
-6 + 4x = 10

Add '6' to each side of the equation.
-6 + 6 + 4x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 10 + 6
4x = 10 + 6

Combine like terms: 10 + 6 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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