2(x+10)=5(x+1)

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Solution for 2(x+10)=5(x+1) equation: 


Simplifying
2(x + 10) = 5(x + 1)

Reorder the terms:
2(10 + x) = 5(x + 1)
(10 * 2 + x * 2) = 5(x + 1)
(20 + 2x) = 5(x + 1)

Reorder the terms:
20 + 2x = 5(1 + x)
20 + 2x = (1 * 5 + x * 5)
20 + 2x = (5 + 5x)

Solving
20 + 2x = 5 + 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.
20 + 2x + -5x = 5 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
20 + -3x = 5 + 0
20 + -3x = 5

Add '-20' to each side of the equation.
20 + -20 + -3x = 5 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 5 + -20
-3x = 5 + -20

Combine like terms: 5 + -20 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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