2(x+2)+3(x+4)=4x+20

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Solution for 2(x+2)+3(x+4)=4x+20 equation: 


Simplifying
2(x + 2) + 3(x + 4) = 4x + 20

Reorder the terms:
2(2 + x) + 3(x + 4) = 4x + 20
(2 * 2 + x * 2) + 3(x + 4) = 4x + 20
(4 + 2x) + 3(x + 4) = 4x + 20

Reorder the terms:
4 + 2x + 3(4 + x) = 4x + 20
4 + 2x + (4 * 3 + x * 3) = 4x + 20
4 + 2x + (12 + 3x) = 4x + 20

Reorder the terms:
4 + 12 + 2x + 3x = 4x + 20

Combine like terms: 4 + 12 = 16
16 + 2x + 3x = 4x + 20

Combine like terms: 2x + 3x = 5x
16 + 5x = 4x + 20

Reorder the terms:
16 + 5x = 20 + 4x

Solving
16 + 5x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + 5x + -4x = 20 + 4x + -4x

Combine like terms: 5x + -4x = 1x
16 + 1x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + 1x = 20 + 0
16 + 1x = 20

Add '-16' to each side of the equation.
16 + -16 + 1x = 20 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 20 + -16
1x = 20 + -16

Combine like terms: 20 + -16 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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