7x+(-3x)=12+5x+(-2)

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Solution for 7x+(-3x)=12+5x+(-2) equation: 


Simplifying
7x + (-3x) = 12 + 5x + (-2)

Combine like terms: 7x + (-3x) = 4x
4x = 12 + 5x + (-2)
4x = 12 + 5x + -2

Reorder the terms:
4x = 12 + -2 + 5x

Combine like terms: 12 + -2 = 10
4x = 10 + 5x

Solving
4x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4x + -5x = 10 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-1x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1x = 10 + 0
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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