2(x+11)=5(x+2)

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Solution for 2(x+11)=5(x+2) equation: 


Simplifying
2(x + 11) = 5(x + 2)

Reorder the terms:
2(11 + x) = 5(x + 2)
(11 * 2 + x * 2) = 5(x + 2)
(22 + 2x) = 5(x + 2)

Reorder the terms:
22 + 2x = 5(2 + x)
22 + 2x = (2 * 5 + x * 5)
22 + 2x = (10 + 5x)

Solving
22 + 2x = 10 + 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.
22 + 2x + -5x = 10 + 5x + -5x

Combine like terms: 2x + -5x = -3x
22 + -3x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
22 + -3x = 10 + 0
22 + -3x = 10

Add '-22' to each side of the equation.
22 + -22 + -3x = 10 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = 10 + -22
-3x = 10 + -22

Combine like terms: 10 + -22 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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