2(x+5)+3(2x+1)=5x+8

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Solution for 2(x+5)+3(2x+1)=5x+8 equation: 


Simplifying
2(x + 5) + 3(2x + 1) = 5x + 8

Reorder the terms:
2(5 + x) + 3(2x + 1) = 5x + 8
(5 * 2 + x * 2) + 3(2x + 1) = 5x + 8
(10 + 2x) + 3(2x + 1) = 5x + 8

Reorder the terms:
10 + 2x + 3(1 + 2x) = 5x + 8
10 + 2x + (1 * 3 + 2x * 3) = 5x + 8
10 + 2x + (3 + 6x) = 5x + 8

Reorder the terms:
10 + 3 + 2x + 6x = 5x + 8

Combine like terms: 10 + 3 = 13
13 + 2x + 6x = 5x + 8

Combine like terms: 2x + 6x = 8x
13 + 8x = 5x + 8

Reorder the terms:
13 + 8x = 8 + 5x

Solving
13 + 8x = 8 + 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.
13 + 8x + -5x = 8 + 5x + -5x

Combine like terms: 8x + -5x = 3x
13 + 3x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + 3x = 8 + 0
13 + 3x = 8

Add '-13' to each side of the equation.
13 + -13 + 3x = 8 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 8 + -13
3x = 8 + -13

Combine like terms: 8 + -13 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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