10x-14=3x+4

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Solution for 10x-14=3x+4 equation:


Simplifying
10x + -14 = 3x + 4

Reorder the terms:
-14 + 10x = 3x + 4

Reorder the terms:
-14 + 10x = 4 + 3x

Solving
-14 + 10x = 4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-14 + 10x + -3x = 4 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-14 + 7x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 7x = 4 + 0
-14 + 7x = 4

Add '14' to each side of the equation.
-14 + 14 + 7x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 7x = 4 + 14
7x = 4 + 14

Combine like terms: 4 + 14 = 18
7x = 18

Divide each side by '7'.
x = 2.571428571

Simplifying
x = 2.571428571

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