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

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


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

Reorder the terms:
2x + 2(1 + 3x) + 3x + -1 = 7x + 1
2x + (1 * 2 + 3x * 2) + 3x + -1 = 7x + 1
2x + (2 + 6x) + 3x + -1 = 7x + 1

Reorder the terms:
2 + -1 + 2x + 6x + 3x = 7x + 1

Combine like terms: 2 + -1 = 1
1 + 2x + 6x + 3x = 7x + 1

Combine like terms: 2x + 6x = 8x
1 + 8x + 3x = 7x + 1

Combine like terms: 8x + 3x = 11x
1 + 11x = 7x + 1

Reorder the terms:
1 + 11x = 1 + 7x

Add '-1' to each side of the equation.
1 + -1 + 11x = 1 + -1 + 7x

Combine like terms: 1 + -1 = 0
0 + 11x = 1 + -1 + 7x
11x = 1 + -1 + 7x

Combine like terms: 1 + -1 = 0
11x = 0 + 7x
11x = 7x

Solving
11x = 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.
11x + -7x = 7x + -7x

Combine like terms: 11x + -7x = 4x
4x = 7x + -7x

Combine like terms: 7x + -7x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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