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

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


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

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

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

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

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

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

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

Combine like terms: 2 + 2 = 4
4 + 2 + 2 + 2 + 2x + 2x + 2x + 2x + 2x = 5(x + 10)

Combine like terms: 4 + 2 = 6
6 + 2 + 2 + 2x + 2x + 2x + 2x + 2x = 5(x + 10)

Combine like terms: 6 + 2 = 8
8 + 2 + 2x + 2x + 2x + 2x + 2x = 5(x + 10)

Combine like terms: 8 + 2 = 10
10 + 2x + 2x + 2x + 2x + 2x = 5(x + 10)

Combine like terms: 2x + 2x = 4x
10 + 4x + 2x + 2x + 2x = 5(x + 10)

Combine like terms: 4x + 2x = 6x
10 + 6x + 2x + 2x = 5(x + 10)

Combine like terms: 6x + 2x = 8x
10 + 8x + 2x = 5(x + 10)

Combine like terms: 8x + 2x = 10x
10 + 10x = 5(x + 10)

Reorder the terms:
10 + 10x = 5(10 + x)
10 + 10x = (10 * 5 + x * 5)
10 + 10x = (50 + 5x)

Solving
10 + 10x = 50 + 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.
10 + 10x + -5x = 50 + 5x + -5x

Combine like terms: 10x + -5x = 5x
10 + 5x = 50 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + 5x = 50 + 0
10 + 5x = 50

Add '-10' to each side of the equation.
10 + -10 + 5x = 50 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 50 + -10
5x = 50 + -10

Combine like terms: 50 + -10 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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