3-7x+10x-14=9-2x+12x+5

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Solution for 3-7x+10x-14=9-2x+12x+5 equation:


Simplifying
3 + -7x + 10x + -14 = 9 + -2x + 12x + 5

Reorder the terms:
3 + -14 + -7x + 10x = 9 + -2x + 12x + 5

Combine like terms: 3 + -14 = -11
-11 + -7x + 10x = 9 + -2x + 12x + 5

Combine like terms: -7x + 10x = 3x
-11 + 3x = 9 + -2x + 12x + 5

Reorder the terms:
-11 + 3x = 9 + 5 + -2x + 12x

Combine like terms: 9 + 5 = 14
-11 + 3x = 14 + -2x + 12x

Combine like terms: -2x + 12x = 10x
-11 + 3x = 14 + 10x

Solving
-11 + 3x = 14 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-11 + 3x + -10x = 14 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
-11 + -7x = 14 + 0
-11 + -7x = 14

Add '11' to each side of the equation.
-11 + 11 + -7x = 14 + 11

Combine like terms: -11 + 11 = 0
0 + -7x = 14 + 11
-7x = 14 + 11

Combine like terms: 14 + 11 = 25
-7x = 25

Divide each side by '-7'.
x = -3.571428571

Simplifying
x = -3.571428571

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