7x-14=4x+10

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


Simplifying
7x + -14 = 4x + 10

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

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

Solving
-14 + 7x = 10 + 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
-14 + 3x = 10 + 0
-14 + 3x = 10

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

Combine like terms: -14 + 14 = 0
0 + 3x = 10 + 14
3x = 10 + 14

Combine like terms: 10 + 14 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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