10x+14-6x+7=8x+6+x

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Solution for 10x+14-6x+7=8x+6+x equation:


Simplifying
10x + 14 + -6x + 7 = 8x + 6 + x

Reorder the terms:
14 + 7 + 10x + -6x = 8x + 6 + x

Combine like terms: 14 + 7 = 21
21 + 10x + -6x = 8x + 6 + x

Combine like terms: 10x + -6x = 4x
21 + 4x = 8x + 6 + x

Reorder the terms:
21 + 4x = 6 + 8x + x

Combine like terms: 8x + x = 9x
21 + 4x = 6 + 9x

Solving
21 + 4x = 6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
21 + 4x + -9x = 6 + 9x + -9x

Combine like terms: 4x + -9x = -5x
21 + -5x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
21 + -5x = 6 + 0
21 + -5x = 6

Add '-21' to each side of the equation.
21 + -21 + -5x = 6 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = 6 + -21
-5x = 6 + -21

Combine like terms: 6 + -21 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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