4x+2+3x+6=2x+8+4x+5

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Solution for 4x+2+3x+6=2x+8+4x+5 equation:


Simplifying
4x + 2 + 3x + 6 = 2x + 8 + 4x + 5

Reorder the terms:
2 + 6 + 4x + 3x = 2x + 8 + 4x + 5

Combine like terms: 2 + 6 = 8
8 + 4x + 3x = 2x + 8 + 4x + 5

Combine like terms: 4x + 3x = 7x
8 + 7x = 2x + 8 + 4x + 5

Reorder the terms:
8 + 7x = 8 + 5 + 2x + 4x

Combine like terms: 8 + 5 = 13
8 + 7x = 13 + 2x + 4x

Combine like terms: 2x + 4x = 6x
8 + 7x = 13 + 6x

Solving
8 + 7x = 13 + 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.
8 + 7x + -6x = 13 + 6x + -6x

Combine like terms: 7x + -6x = 1x
8 + 1x = 13 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + 1x = 13 + 0
8 + 1x = 13

Add '-8' to each side of the equation.
8 + -8 + 1x = 13 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 13 + -8
1x = 13 + -8

Combine like terms: 13 + -8 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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