7-2(x+7)=11-6(x+3)

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Solution for 7-2(x+7)=11-6(x+3) equation:


Simplifying
7 + -2(x + 7) = 11 + -6(x + 3)

Reorder the terms:
7 + -2(7 + x) = 11 + -6(x + 3)
7 + (7 * -2 + x * -2) = 11 + -6(x + 3)
7 + (-14 + -2x) = 11 + -6(x + 3)

Combine like terms: 7 + -14 = -7
-7 + -2x = 11 + -6(x + 3)

Reorder the terms:
-7 + -2x = 11 + -6(3 + x)
-7 + -2x = 11 + (3 * -6 + x * -6)
-7 + -2x = 11 + (-18 + -6x)

Combine like terms: 11 + -18 = -7
-7 + -2x = -7 + -6x

Add '7' to each side of the equation.
-7 + 7 + -2x = -7 + 7 + -6x

Combine like terms: -7 + 7 = 0
0 + -2x = -7 + 7 + -6x
-2x = -7 + 7 + -6x

Combine like terms: -7 + 7 = 0
-2x = 0 + -6x
-2x = -6x

Solving
-2x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-2x + 6x = -6x + 6x

Combine like terms: -2x + 6x = 4x
4x = -6x + 6x

Combine like terms: -6x + 6x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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