7x-4=2x-14

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Solution for 7x-4=2x-14 equation:


Simplifying
7x + -4 = 2x + -14

Reorder the terms:
-4 + 7x = 2x + -14

Reorder the terms:
-4 + 7x = -14 + 2x

Solving
-4 + 7x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 7x + -2x = -14 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-4 + 5x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 5x = -14 + 0
-4 + 5x = -14

Add '4' to each side of the equation.
-4 + 4 + 5x = -14 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = -14 + 4
5x = -14 + 4

Combine like terms: -14 + 4 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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