3x-6-4x+20=6x-7

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Solution for 3x-6-4x+20=6x-7 equation:


Simplifying
3x + -6 + -4x + 20 = 6x + -7

Reorder the terms:
-6 + 20 + 3x + -4x = 6x + -7

Combine like terms: -6 + 20 = 14
14 + 3x + -4x = 6x + -7

Combine like terms: 3x + -4x = -1x
14 + -1x = 6x + -7

Reorder the terms:
14 + -1x = -7 + 6x

Solving
14 + -1x = -7 + 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.
14 + -1x + -6x = -7 + 6x + -6x

Combine like terms: -1x + -6x = -7x
14 + -7x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -7x = -7 + 0
14 + -7x = -7

Add '-14' to each side of the equation.
14 + -14 + -7x = -7 + -14

Combine like terms: 14 + -14 = 0
0 + -7x = -7 + -14
-7x = -7 + -14

Combine like terms: -7 + -14 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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