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

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


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

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

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

Combine like terms: x + 4x = 5x
7 + 5x + -5x = 7 + -2x + 6

Combine like terms: 5x + -5x = 0
7 + 0 = 7 + -2x + 6
7 = 7 + -2x + 6

Reorder the terms:
7 = 7 + 6 + -2x

Combine like terms: 7 + 6 = 13
7 = 13 + -2x

Solving
7 = 13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
7 + 2x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + 2x = 13 + 0
7 + 2x = 13

Add '-7' to each side of the equation.
7 + -7 + 2x = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 13 + -7
2x = 13 + -7

Combine like terms: 13 + -7 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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