3x+5-7x+4=20+2x-9

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Solution for 3x+5-7x+4=20+2x-9 equation:


Simplifying
3x + 5 + -7x + 4 = 20 + 2x + -9

Reorder the terms:
5 + 4 + 3x + -7x = 20 + 2x + -9

Combine like terms: 5 + 4 = 9
9 + 3x + -7x = 20 + 2x + -9

Combine like terms: 3x + -7x = -4x
9 + -4x = 20 + 2x + -9

Reorder the terms:
9 + -4x = 20 + -9 + 2x

Combine like terms: 20 + -9 = 11
9 + -4x = 11 + 2x

Solving
9 + -4x = 11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + -4x + -2x = 11 + 2x + -2x

Combine like terms: -4x + -2x = -6x
9 + -6x = 11 + 2x + -2x

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

Add '-9' to each side of the equation.
9 + -9 + -6x = 11 + -9

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

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

Divide each side by '-6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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