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

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


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

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

Combine like terms: 2 + 24 = 26
26 + 4x = 4(2x + 3) + 6

Reorder the terms:
26 + 4x = 4(3 + 2x) + 6
26 + 4x = (3 * 4 + 2x * 4) + 6
26 + 4x = (12 + 8x) + 6

Reorder the terms:
26 + 4x = 12 + 6 + 8x

Combine like terms: 12 + 6 = 18
26 + 4x = 18 + 8x

Solving
26 + 4x = 18 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
26 + 4x + -8x = 18 + 8x + -8x

Combine like terms: 4x + -8x = -4x
26 + -4x = 18 + 8x + -8x

Combine like terms: 8x + -8x = 0
26 + -4x = 18 + 0
26 + -4x = 18

Add '-26' to each side of the equation.
26 + -26 + -4x = 18 + -26

Combine like terms: 26 + -26 = 0
0 + -4x = 18 + -26
-4x = 18 + -26

Combine like terms: 18 + -26 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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