2-(x+1)+6(x+2)=7(x+3)

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Solution for 2-(x+1)+6(x+2)=7(x+3) equation:


Simplifying
2 + -1(x + 1) + 6(x + 2) = 7(x + 3)

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

Reorder the terms:
2 + -1 + -1x + 6(2 + x) = 7(x + 3)
2 + -1 + -1x + (2 * 6 + x * 6) = 7(x + 3)
2 + -1 + -1x + (12 + 6x) = 7(x + 3)

Reorder the terms:
2 + -1 + 12 + -1x + 6x = 7(x + 3)

Combine like terms: 2 + -1 = 1
1 + 12 + -1x + 6x = 7(x + 3)

Combine like terms: 1 + 12 = 13
13 + -1x + 6x = 7(x + 3)

Combine like terms: -1x + 6x = 5x
13 + 5x = 7(x + 3)

Reorder the terms:
13 + 5x = 7(3 + x)
13 + 5x = (3 * 7 + x * 7)
13 + 5x = (21 + 7x)

Solving
13 + 5x = 21 + 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.
13 + 5x + -7x = 21 + 7x + -7x

Combine like terms: 5x + -7x = -2x
13 + -2x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
13 + -2x = 21 + 0
13 + -2x = 21

Add '-13' to each side of the equation.
13 + -13 + -2x = 21 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 21 + -13
-2x = 21 + -13

Combine like terms: 21 + -13 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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