7x-4=10x+14

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


Simplifying
7x + -4 = 10x + 14

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

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

Solving
-4 + 7x = 14 + 10x

Solving for variable 'x'.

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

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

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

Combine like terms: 10x + -10x = 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 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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