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

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


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

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

Remove parenthesis around (6 + x)
6 + x + -1(2x + 7) = 3(x + -3)

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

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

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

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

Reorder the terms:
-1 + -1x = 3(-3 + x)
-1 + -1x = (-3 * 3 + x * 3)
-1 + -1x = (-9 + 3x)

Solving
-1 + -1x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + -1x + -3x = -9 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-1 + -4x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -4x = -9 + 0
-1 + -4x = -9

Add '1' to each side of the equation.
-1 + 1 + -4x = -9 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = -9 + 1
-4x = -9 + 1

Combine like terms: -9 + 1 = -8
-4x = -8

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

Simplifying
x = 2

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