3x-14-5x+4=5-9x-7+3x

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Solution for 3x-14-5x+4=5-9x-7+3x equation:


Simplifying
3x + -14 + -5x + 4 = 5 + -9x + -7 + 3x

Reorder the terms:
-14 + 4 + 3x + -5x = 5 + -9x + -7 + 3x

Combine like terms: -14 + 4 = -10
-10 + 3x + -5x = 5 + -9x + -7 + 3x

Combine like terms: 3x + -5x = -2x
-10 + -2x = 5 + -9x + -7 + 3x

Reorder the terms:
-10 + -2x = 5 + -7 + -9x + 3x

Combine like terms: 5 + -7 = -2
-10 + -2x = -2 + -9x + 3x

Combine like terms: -9x + 3x = -6x
-10 + -2x = -2 + -6x

Solving
-10 + -2x = -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.
-10 + -2x + 6x = -2 + -6x + 6x

Combine like terms: -2x + 6x = 4x
-10 + 4x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-10 + 4x = -2 + 0
-10 + 4x = -2

Add '10' to each side of the equation.
-10 + 10 + 4x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = -2 + 10
4x = -2 + 10

Combine like terms: -2 + 10 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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