5x+10=14x-6

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Solution for 5x+10=14x-6 equation:


Simplifying
5x + 10 = 14x + -6

Reorder the terms:
10 + 5x = 14x + -6

Reorder the terms:
10 + 5x = -6 + 14x

Solving
10 + 5x = -6 + 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.
10 + 5x + -14x = -6 + 14x + -14x

Combine like terms: 5x + -14x = -9x
10 + -9x = -6 + 14x + -14x

Combine like terms: 14x + -14x = 0
10 + -9x = -6 + 0
10 + -9x = -6

Add '-10' to each side of the equation.
10 + -10 + -9x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = -6 + -10
-9x = -6 + -10

Combine like terms: -6 + -10 = -16
-9x = -16

Divide each side by '-9'.
x = 1.777777778

Simplifying
x = 1.777777778

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