1+2+3x+4+5x=6x+7+8

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Solution for 1+2+3x+4+5x=6x+7+8 equation:


Simplifying
1 + 2 + 3x + 4 + 5x = 6x + 7 + 8

Reorder the terms:
1 + 2 + 4 + 3x + 5x = 6x + 7 + 8

Combine like terms: 1 + 2 = 3
3 + 4 + 3x + 5x = 6x + 7 + 8

Combine like terms: 3 + 4 = 7
7 + 3x + 5x = 6x + 7 + 8

Combine like terms: 3x + 5x = 8x
7 + 8x = 6x + 7 + 8

Reorder the terms:
7 + 8x = 7 + 8 + 6x

Combine like terms: 7 + 8 = 15
7 + 8x = 15 + 6x

Solving
7 + 8x = 15 + 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.
7 + 8x + -6x = 15 + 6x + -6x

Combine like terms: 8x + -6x = 2x
7 + 2x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + 2x = 15 + 0
7 + 2x = 15

Add '-7' to each side of the equation.
7 + -7 + 2x = 15 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 15 + -7
2x = 15 + -7

Combine like terms: 15 + -7 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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