10x+9=14x+10

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Solution for 10x+9=14x+10 equation:


Simplifying
10x + 9 = 14x + 10

Reorder the terms:
9 + 10x = 14x + 10

Reorder the terms:
9 + 10x = 10 + 14x

Solving
9 + 10x = 10 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
9 + 10x + -14x = 10 + 14x + -14x

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

Combine like terms: 14x + -14x = 0
9 + -4x = 10 + 0
9 + -4x = 10

Add '-9' to each side of the equation.
9 + -9 + -4x = 10 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 10 + -9
-4x = 10 + -9

Combine like terms: 10 + -9 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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