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

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


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

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

Reorder the terms:
7 + 7x = 3(3 + 2x) + -11
7 + 7x = (3 * 3 + 2x * 3) + -11
7 + 7x = (9 + 6x) + -11

Reorder the terms:
7 + 7x = 9 + -11 + 6x

Combine like terms: 9 + -11 = -2
7 + 7x = -2 + 6x

Solving
7 + 7x = -2 + 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.
7 + 7x + -6x = -2 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
7 + 1x = -2 + 0
7 + 1x = -2

Add '-7' to each side of the equation.
7 + -7 + 1x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = -2 + -7
1x = -2 + -7

Combine like terms: -2 + -7 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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