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

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


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

Reorder the terms:
3(-4 + 2x) + 3x = 3(2x + 4) + 2(5 + -1x)
(-4 * 3 + 2x * 3) + 3x = 3(2x + 4) + 2(5 + -1x)
(-12 + 6x) + 3x = 3(2x + 4) + 2(5 + -1x)

Combine like terms: 6x + 3x = 9x
-12 + 9x = 3(2x + 4) + 2(5 + -1x)

Reorder the terms:
-12 + 9x = 3(4 + 2x) + 2(5 + -1x)
-12 + 9x = (4 * 3 + 2x * 3) + 2(5 + -1x)
-12 + 9x = (12 + 6x) + 2(5 + -1x)
-12 + 9x = 12 + 6x + (5 * 2 + -1x * 2)
-12 + 9x = 12 + 6x + (10 + -2x)

Reorder the terms:
-12 + 9x = 12 + 10 + 6x + -2x

Combine like terms: 12 + 10 = 22
-12 + 9x = 22 + 6x + -2x

Combine like terms: 6x + -2x = 4x
-12 + 9x = 22 + 4x

Solving
-12 + 9x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 9x + -4x = 22 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-12 + 5x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 5x = 22 + 0
-12 + 5x = 22

Add '12' to each side of the equation.
-12 + 12 + 5x = 22 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 22 + 12
5x = 22 + 12

Combine like terms: 22 + 12 = 34
5x = 34

Divide each side by '5'.
x = 6.8

Simplifying
x = 6.8

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