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

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


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

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

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

Combine like terms: -6 + -6 = -12
-12 + 3x + 4x = 5(x + 4)

Combine like terms: 3x + 4x = 7x
-12 + 7x = 5(x + 4)

Reorder the terms:
-12 + 7x = 5(4 + x)
-12 + 7x = (4 * 5 + x * 5)
-12 + 7x = (20 + 5x)

Solving
-12 + 7x = 20 + 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.
-12 + 7x + -5x = 20 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-12 + 2x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 2x = 20 + 0
-12 + 2x = 20

Add '12' to each side of the equation.
-12 + 12 + 2x = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 20 + 12
2x = 20 + 12

Combine like terms: 20 + 12 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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