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

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


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

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

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

Reorder the terms:
4 + 2x = 12 + 12 + 4x + -3x

Combine like terms: 12 + 12 = 24
4 + 2x = 24 + 4x + -3x

Combine like terms: 4x + -3x = 1x
4 + 2x = 24 + 1x

Solving
4 + 2x = 24 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 2x + -1x = 24 + 1x + -1x

Combine like terms: 2x + -1x = 1x
4 + 1x = 24 + 1x + -1x

Combine like terms: 1x + -1x = 0
4 + 1x = 24 + 0
4 + 1x = 24

Add '-4' to each side of the equation.
4 + -4 + 1x = 24 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 24 + -4
1x = 24 + -4

Combine like terms: 24 + -4 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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