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

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


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

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

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

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

Reorder the terms:
3 + 5x = -1 + 7x

Solving
3 + 5x = -1 + 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 = -1 + 7x + -7x

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

Combine like terms: 7x + -7x = 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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