(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)

Remove parenthesis around (3 + 10x)
3 + 10x = (14x + -13)

Reorder the terms:
3 + 10x = (-13 + 14x)

Remove parenthesis around (-13 + 14x)
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 = -16
-4x = -16

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

Simplifying
x = 4

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