10x+3=14x+13

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Solution for 10x+3=14x+13 equation:


Simplifying
10x + 3 = 14x + 13

Reorder the terms:
3 + 10x = 14x + 13

Reorder the terms:
3 + 10x = 13 + 14x

Solving
3 + 10x = 13 + 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 = 13 + 14x + -14x

Combine like terms: 10x + -14x = -4x
3 + -4x = 13 + 14x + -14x

Combine like terms: 14x + -14x = 0
3 + -4x = 13 + 0
3 + -4x = 13

Add '-3' to each side of the equation.
3 + -3 + -4x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 13 + -3
-4x = 13 + -3

Combine like terms: 13 + -3 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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