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

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


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

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

Combine like terms: 3x + 2x = 5x
-12 + 5x = 5 + -2(x + -2)

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

Combine like terms: 5 + 4 = 9
-12 + 5x = 9 + -2x

Solving
-12 + 5x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + 5x + 2x = 9 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-12 + 7x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 7x = 9 + 0
-12 + 7x = 9

Add '12' to each side of the equation.
-12 + 12 + 7x = 9 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = 9 + 12
7x = 9 + 12

Combine like terms: 9 + 12 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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