x+7x-12=14-3x+7

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Solution for x+7x-12=14-3x+7 equation:


Simplifying
x + 7x + -12 = 14 + -3x + 7

Reorder the terms:
-12 + x + 7x = 14 + -3x + 7

Combine like terms: x + 7x = 8x
-12 + 8x = 14 + -3x + 7

Reorder the terms:
-12 + 8x = 14 + 7 + -3x

Combine like terms: 14 + 7 = 21
-12 + 8x = 21 + -3x

Solving
-12 + 8x = 21 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-12 + 8x + 3x = 21 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-12 + 11x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 11x = 21 + 0
-12 + 11x = 21

Add '12' to each side of the equation.
-12 + 12 + 11x = 21 + 12

Combine like terms: -12 + 12 = 0
0 + 11x = 21 + 12
11x = 21 + 12

Combine like terms: 21 + 12 = 33
11x = 33

Divide each side by '11'.
x = 3

Simplifying
x = 3

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