3x-3=7x-2x+1

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Solution for 3x-3=7x-2x+1 equation:


Simplifying
3x + -3 = 7x + -2x + 1

Reorder the terms:
-3 + 3x = 7x + -2x + 1

Reorder the terms:
-3 + 3x = 1 + 7x + -2x

Combine like terms: 7x + -2x = 5x
-3 + 3x = 1 + 5x

Solving
-3 + 3x = 1 + 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.
-3 + 3x + -5x = 1 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-3 + -2x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -2x = 1 + 0
-3 + -2x = 1

Add '3' to each side of the equation.
-3 + 3 + -2x = 1 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 1 + 3
-2x = 1 + 3

Combine like terms: 1 + 3 = 4
-2x = 4

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

Simplifying
x = -2

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