x-7=3x+14+2x-9

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Solution for x-7=3x+14+2x-9 equation:


Simplifying
x + -7 = 3x + 14 + 2x + -9

Reorder the terms:
-7 + x = 3x + 14 + 2x + -9

Reorder the terms:
-7 + x = 14 + -9 + 3x + 2x

Combine like terms: 14 + -9 = 5
-7 + x = 5 + 3x + 2x

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

Solving
-7 + x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-7 + x + -5x = 5 + 5x + -5x

Combine like terms: x + -5x = -4x
-7 + -4x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + -4x = 5 + 0
-7 + -4x = 5

Add '7' to each side of the equation.
-7 + 7 + -4x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = 5 + 7
-4x = 5 + 7

Combine like terms: 5 + 7 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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