3(2x-8)-2(x+4)=2(x-3)+4

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Solution for 3(2x-8)-2(x+4)=2(x-3)+4 equation:


Simplifying
3(2x + -8) + -2(x + 4) = 2(x + -3) + 4

Reorder the terms:
3(-8 + 2x) + -2(x + 4) = 2(x + -3) + 4
(-8 * 3 + 2x * 3) + -2(x + 4) = 2(x + -3) + 4
(-24 + 6x) + -2(x + 4) = 2(x + -3) + 4

Reorder the terms:
-24 + 6x + -2(4 + x) = 2(x + -3) + 4
-24 + 6x + (4 * -2 + x * -2) = 2(x + -3) + 4
-24 + 6x + (-8 + -2x) = 2(x + -3) + 4

Reorder the terms:
-24 + -8 + 6x + -2x = 2(x + -3) + 4

Combine like terms: -24 + -8 = -32
-32 + 6x + -2x = 2(x + -3) + 4

Combine like terms: 6x + -2x = 4x
-32 + 4x = 2(x + -3) + 4

Reorder the terms:
-32 + 4x = 2(-3 + x) + 4
-32 + 4x = (-3 * 2 + x * 2) + 4
-32 + 4x = (-6 + 2x) + 4

Reorder the terms:
-32 + 4x = -6 + 4 + 2x

Combine like terms: -6 + 4 = -2
-32 + 4x = -2 + 2x

Solving
-32 + 4x = -2 + 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.
-32 + 4x + -2x = -2 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-32 + 2x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-32 + 2x = -2 + 0
-32 + 2x = -2

Add '32' to each side of the equation.
-32 + 32 + 2x = -2 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = -2 + 32
2x = -2 + 32

Combine like terms: -2 + 32 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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