3x+3+5x+1+2x+5=2(2x+x+13)

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Solution for 3x+3+5x+1+2x+5=2(2x+x+13) equation:


Simplifying
3x + 3 + 5x + 1 + 2x + 5 = 2(2x + x + 13)

Reorder the terms:
3 + 1 + 5 + 3x + 5x + 2x = 2(2x + x + 13)

Combine like terms: 3 + 1 = 4
4 + 5 + 3x + 5x + 2x = 2(2x + x + 13)

Combine like terms: 4 + 5 = 9
9 + 3x + 5x + 2x = 2(2x + x + 13)

Combine like terms: 3x + 5x = 8x
9 + 8x + 2x = 2(2x + x + 13)

Combine like terms: 8x + 2x = 10x
9 + 10x = 2(2x + x + 13)

Reorder the terms:
9 + 10x = 2(13 + 2x + x)

Combine like terms: 2x + x = 3x
9 + 10x = 2(13 + 3x)
9 + 10x = (13 * 2 + 3x * 2)
9 + 10x = (26 + 6x)

Solving
9 + 10x = 26 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + 10x + -6x = 26 + 6x + -6x

Combine like terms: 10x + -6x = 4x
9 + 4x = 26 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + 4x = 26 + 0
9 + 4x = 26

Add '-9' to each side of the equation.
9 + -9 + 4x = 26 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 26 + -9
4x = 26 + -9

Combine like terms: 26 + -9 = 17
4x = 17

Divide each side by '4'.
x = 4.25

Simplifying
x = 4.25

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