2x+6+3x-3=7x-3

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Solution for 2x+6+3x-3=7x-3 equation:


Simplifying
2x + 6 + 3x + -3 = 7x + -3

Reorder the terms:
6 + -3 + 2x + 3x = 7x + -3

Combine like terms: 6 + -3 = 3
3 + 2x + 3x = 7x + -3

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

Reorder the terms:
3 + 5x = -3 + 7x

Solving
3 + 5x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 5x + -7x = -3 + 7x + -7x

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

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

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

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

Combine like terms: -3 + -3 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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