1+2x=7(x+1)-6(x-1)

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Solution for 1+2x=7(x+1)-6(x-1) equation:


Simplifying
1 + 2x = 7(x + 1) + -6(x + -1)

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

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

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

Combine like terms: 7 + 6 = 13
1 + 2x = 13 + 7x + -6x

Combine like terms: 7x + -6x = 1x
1 + 2x = 13 + 1x

Solving
1 + 2x = 13 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1 + 2x + -1x = 13 + 1x + -1x

Combine like terms: 2x + -1x = 1x
1 + 1x = 13 + 1x + -1x

Combine like terms: 1x + -1x = 0
1 + 1x = 13 + 0
1 + 1x = 13

Add '-1' to each side of the equation.
1 + -1 + 1x = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 13 + -1
1x = 13 + -1

Combine like terms: 13 + -1 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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