2(x+11)=4(3x+1)+12

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Solution for 2(x+11)=4(3x+1)+12 equation:


Simplifying
2(x + 11) = 4(3x + 1) + 12

Reorder the terms:
2(11 + x) = 4(3x + 1) + 12
(11 * 2 + x * 2) = 4(3x + 1) + 12
(22 + 2x) = 4(3x + 1) + 12

Reorder the terms:
22 + 2x = 4(1 + 3x) + 12
22 + 2x = (1 * 4 + 3x * 4) + 12
22 + 2x = (4 + 12x) + 12

Reorder the terms:
22 + 2x = 4 + 12 + 12x

Combine like terms: 4 + 12 = 16
22 + 2x = 16 + 12x

Solving
22 + 2x = 16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
22 + 2x + -12x = 16 + 12x + -12x

Combine like terms: 2x + -12x = -10x
22 + -10x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
22 + -10x = 16 + 0
22 + -10x = 16

Add '-22' to each side of the equation.
22 + -22 + -10x = 16 + -22

Combine like terms: 22 + -22 = 0
0 + -10x = 16 + -22
-10x = 16 + -22

Combine like terms: 16 + -22 = -6
-10x = -6

Divide each side by '-10'.
x = 0.6

Simplifying
x = 0.6

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