7x-21-6x+4=2-(x+3)

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Solution for 7x-21-6x+4=2-(x+3) equation:


Simplifying
7x + -21 + -6x + 4 = 2 + -1(x + 3)

Reorder the terms:
-21 + 4 + 7x + -6x = 2 + -1(x + 3)

Combine like terms: -21 + 4 = -17
-17 + 7x + -6x = 2 + -1(x + 3)

Combine like terms: 7x + -6x = 1x
-17 + 1x = 2 + -1(x + 3)

Reorder the terms:
-17 + 1x = 2 + -1(3 + x)
-17 + 1x = 2 + (3 * -1 + x * -1)
-17 + 1x = 2 + (-3 + -1x)

Combine like terms: 2 + -3 = -1
-17 + 1x = -1 + -1x

Solving
-17 + 1x = -1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-17 + 1x + x = -1 + -1x + x

Combine like terms: 1x + x = 2x
-17 + 2x = -1 + -1x + x

Combine like terms: -1x + x = 0
-17 + 2x = -1 + 0
-17 + 2x = -1

Add '17' to each side of the equation.
-17 + 17 + 2x = -1 + 17

Combine like terms: -17 + 17 = 0
0 + 2x = -1 + 17
2x = -1 + 17

Combine like terms: -1 + 17 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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