10x-4=7x-14

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Solution for 10x-4=7x-14 equation:


Simplifying
10x + -4 = 7x + -14

Reorder the terms:
-4 + 10x = 7x + -14

Reorder the terms:
-4 + 10x = -14 + 7x

Solving
-4 + 10x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 10x + -7x = -14 + 7x + -7x

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

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

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

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

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

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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