7x-2=-3x-7

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Solution for 7x-2=-3x-7 equation:


Simplifying
7x + -2 = -3x + -7

Reorder the terms:
-2 + 7x = -3x + -7

Reorder the terms:
-2 + 7x = -7 + -3x

Solving
-2 + 7x = -7 + -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.
-2 + 7x + 3x = -7 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-2 + 10x = -7 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 10x = -7 + 0
-2 + 10x = -7

Add '2' to each side of the equation.
-2 + 2 + 10x = -7 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = -7 + 2
10x = -7 + 2

Combine like terms: -7 + 2 = -5
10x = -5

Divide each side by '10'.
x = -0.5

Simplifying
x = -0.5

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