6x+4=14x-13

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Solution for 6x+4=14x-13 equation:


Simplifying
6x + 4 = 14x + -13

Reorder the terms:
4 + 6x = 14x + -13

Reorder the terms:
4 + 6x = -13 + 14x

Solving
4 + 6x = -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.
4 + 6x + -14x = -13 + 14x + -14x

Combine like terms: 6x + -14x = -8x
4 + -8x = -13 + 14x + -14x

Combine like terms: 14x + -14x = 0
4 + -8x = -13 + 0
4 + -8x = -13

Add '-4' to each side of the equation.
4 + -4 + -8x = -13 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = -13 + -4
-8x = -13 + -4

Combine like terms: -13 + -4 = -17
-8x = -17

Divide each side by '-8'.
x = 2.125

Simplifying
x = 2.125

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