2(5+2x)=12+3(x+2)

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Solution for 2(5+2x)=12+3(x+2) equation: 


Simplifying
2(5 + 2x) = 12 + 3(x + 2)
(5 * 2 + 2x * 2) = 12 + 3(x + 2)
(10 + 4x) = 12 + 3(x + 2)

Reorder the terms:
10 + 4x = 12 + 3(2 + x)
10 + 4x = 12 + (2 * 3 + x * 3)
10 + 4x = 12 + (6 + 3x)

Combine like terms: 12 + 6 = 18
10 + 4x = 18 + 3x

Solving
10 + 4x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 4x + -3x = 18 + 3x + -3x

Combine like terms: 4x + -3x = 1x
10 + 1x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 1x = 18 + 0
10 + 1x = 18

Add '-10' to each side of the equation.
10 + -10 + 1x = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 18 + -10
1x = 18 + -10

Combine like terms: 18 + -10 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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