7+2(x-2)+3x=2(2x+4)

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Solution for 7+2(x-2)+3x=2(2x+4) equation:


Simplifying
7 + 2(x + -2) + 3x = 2(2x + 4)

Reorder the terms:
7 + 2(-2 + x) + 3x = 2(2x + 4)
7 + (-2 * 2 + x * 2) + 3x = 2(2x + 4)
7 + (-4 + 2x) + 3x = 2(2x + 4)

Combine like terms: 7 + -4 = 3
3 + 2x + 3x = 2(2x + 4)

Combine like terms: 2x + 3x = 5x
3 + 5x = 2(2x + 4)

Reorder the terms:
3 + 5x = 2(4 + 2x)
3 + 5x = (4 * 2 + 2x * 2)
3 + 5x = (8 + 4x)

Solving
3 + 5x = 8 + 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.
3 + 5x + -4x = 8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
3 + 1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + 1x = 8 + 0
3 + 1x = 8

Add '-3' to each side of the equation.
3 + -3 + 1x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 8 + -3
1x = 8 + -3

Combine like terms: 8 + -3 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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