3-7x+10x-14=9-6x+9-20

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Solution for 3-7x+10x-14=9-6x+9-20 equation:


Simplifying
3 + -7x + 10x + -14 = 9 + -6x + 9 + -20

Reorder the terms:
3 + -14 + -7x + 10x = 9 + -6x + 9 + -20

Combine like terms: 3 + -14 = -11
-11 + -7x + 10x = 9 + -6x + 9 + -20

Combine like terms: -7x + 10x = 3x
-11 + 3x = 9 + -6x + 9 + -20

Reorder the terms:
-11 + 3x = 9 + 9 + -20 + -6x

Combine like terms: 9 + 9 = 18
-11 + 3x = 18 + -20 + -6x

Combine like terms: 18 + -20 = -2
-11 + 3x = -2 + -6x

Solving
-11 + 3x = -2 + -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.
-11 + 3x + 6x = -2 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-11 + 9x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-11 + 9x = -2 + 0
-11 + 9x = -2

Add '11' to each side of the equation.
-11 + 11 + 9x = -2 + 11

Combine like terms: -11 + 11 = 0
0 + 9x = -2 + 11
9x = -2 + 11

Combine like terms: -2 + 11 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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