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

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


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

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

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

Combine like terms: 5x + 6x = 11x
2 + 11x = 3x + 5

Reorder the terms:
2 + 11x = 5 + 3x

Solving
2 + 11x = 5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 11x + -3x = 5 + 3x + -3x

Combine like terms: 11x + -3x = 8x
2 + 8x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 8x = 5 + 0
2 + 8x = 5

Add '-2' to each side of the equation.
2 + -2 + 8x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 5 + -2
8x = 5 + -2

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

Divide each side by '8'.
x = 0.375

Simplifying
x = 0.375

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