10x+3=14x-5

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Solution for 10x+3=14x-5 equation:


Simplifying
10x + 3 = 14x + -5

Reorder the terms:
3 + 10x = 14x + -5

Reorder the terms:
3 + 10x = -5 + 14x

Solving
3 + 10x = -5 + 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.
3 + 10x + -14x = -5 + 14x + -14x

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

Combine like terms: 14x + -14x = 0
3 + -4x = -5 + 0
3 + -4x = -5

Add '-3' to each side of the equation.
3 + -3 + -4x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -5 + -3
-4x = -5 + -3

Combine like terms: -5 + -3 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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