3(x+2)+4(x-2)=5x+20

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Solution for 3(x+2)+4(x-2)=5x+20 equation: 


Simplifying
3(x + 2) + 4(x + -2) = 5x + 20

Reorder the terms:
3(2 + x) + 4(x + -2) = 5x + 20
(2 * 3 + x * 3) + 4(x + -2) = 5x + 20
(6 + 3x) + 4(x + -2) = 5x + 20

Reorder the terms:
6 + 3x + 4(-2 + x) = 5x + 20
6 + 3x + (-2 * 4 + x * 4) = 5x + 20
6 + 3x + (-8 + 4x) = 5x + 20

Reorder the terms:
6 + -8 + 3x + 4x = 5x + 20

Combine like terms: 6 + -8 = -2
-2 + 3x + 4x = 5x + 20

Combine like terms: 3x + 4x = 7x
-2 + 7x = 5x + 20

Reorder the terms:
-2 + 7x = 20 + 5x

Solving
-2 + 7x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 7x + -5x = 20 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-2 + 2x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 2x = 20 + 0
-2 + 2x = 20

Add '2' to each side of the equation.
-2 + 2 + 2x = 20 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 20 + 2
2x = 20 + 2

Combine like terms: 20 + 2 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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