6+3(x+2)=2(x+5)+4

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Solution for 6+3(x+2)=2(x+5)+4 equation: 


Simplifying
6 + 3(x + 2) = 2(x + 5) + 4

Reorder the terms:
6 + 3(2 + x) = 2(x + 5) + 4
6 + (2 * 3 + x * 3) = 2(x + 5) + 4
6 + (6 + 3x) = 2(x + 5) + 4

Combine like terms: 6 + 6 = 12
12 + 3x = 2(x + 5) + 4

Reorder the terms:
12 + 3x = 2(5 + x) + 4
12 + 3x = (5 * 2 + x * 2) + 4
12 + 3x = (10 + 2x) + 4

Reorder the terms:
12 + 3x = 10 + 4 + 2x

Combine like terms: 10 + 4 = 14
12 + 3x = 14 + 2x

Solving
12 + 3x = 14 + 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.
12 + 3x + -2x = 14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
12 + 1x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 1x = 14 + 0
12 + 1x = 14

Add '-12' to each side of the equation.
12 + -12 + 1x = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 14 + -12
1x = 14 + -12

Combine like terms: 14 + -12 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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