3x+4+5x+1+2x+5=2x+x+13

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Solution for 3x+4+5x+1+2x+5=2x+x+13 equation:


Simplifying
3x + 4 + 5x + 1 + 2x + 5 = 2x + x + 13

Reorder the terms:
4 + 1 + 5 + 3x + 5x + 2x = 2x + x + 13

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

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

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

Combine like terms: 8x + 2x = 10x
10 + 10x = 2x + x + 13

Reorder the terms:
10 + 10x = 13 + 2x + x

Combine like terms: 2x + x = 3x
10 + 10x = 13 + 3x

Solving
10 + 10x = 13 + 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.
10 + 10x + -3x = 13 + 3x + -3x

Combine like terms: 10x + -3x = 7x
10 + 7x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 7x = 13 + 0
10 + 7x = 13

Add '-10' to each side of the equation.
10 + -10 + 7x = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 13 + -10
7x = 13 + -10

Combine like terms: 13 + -10 = 3
7x = 3

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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