6+4(x+2)+2x-3=2x+27

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Solution for 6+4(x+2)+2x-3=2x+27 equation:


Simplifying
6 + 4(x + 2) + 2x + -3 = 2x + 27

Reorder the terms:
6 + 4(2 + x) + 2x + -3 = 2x + 27
6 + (2 * 4 + x * 4) + 2x + -3 = 2x + 27
6 + (8 + 4x) + 2x + -3 = 2x + 27

Reorder the terms:
6 + 8 + -3 + 4x + 2x = 2x + 27

Combine like terms: 6 + 8 = 14
14 + -3 + 4x + 2x = 2x + 27

Combine like terms: 14 + -3 = 11
11 + 4x + 2x = 2x + 27

Combine like terms: 4x + 2x = 6x
11 + 6x = 2x + 27

Reorder the terms:
11 + 6x = 27 + 2x

Solving
11 + 6x = 27 + 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.
11 + 6x + -2x = 27 + 2x + -2x

Combine like terms: 6x + -2x = 4x
11 + 4x = 27 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + 4x = 27 + 0
11 + 4x = 27

Add '-11' to each side of the equation.
11 + -11 + 4x = 27 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 27 + -11
4x = 27 + -11

Combine like terms: 27 + -11 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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