x+6x+4=10-x

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Solution for x+6x+4=10-x equation:


Simplifying
x + 6x + 4 = 10 + -1x

Reorder the terms:
4 + x + 6x = 10 + -1x

Combine like terms: x + 6x = 7x
4 + 7x = 10 + -1x

Solving
4 + 7x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 7x + x = 10 + -1x + x

Combine like terms: 7x + x = 8x
4 + 8x = 10 + -1x + x

Combine like terms: -1x + x = 0
4 + 8x = 10 + 0
4 + 8x = 10

Add '-4' to each side of the equation.
4 + -4 + 8x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 10 + -4
8x = 10 + -4

Combine like terms: 10 + -4 = 6
8x = 6

Divide each side by '8'.
x = 0.75

Simplifying
x = 0.75

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