3(4x+4)+(x+8)=7x-2(-3+11)

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Solution for 3(4x+4)+(x+8)=7x-2(-3+11) equation:


Simplifying
3(4x + 4) + (x + 8) = 7x + -2(-3 + 11)

Reorder the terms:
3(4 + 4x) + (x + 8) = 7x + -2(-3 + 11)
(4 * 3 + 4x * 3) + (x + 8) = 7x + -2(-3 + 11)
(12 + 12x) + (x + 8) = 7x + -2(-3 + 11)

Reorder the terms:
12 + 12x + (8 + x) = 7x + -2(-3 + 11)

Remove parenthesis around (8 + x)
12 + 12x + 8 + x = 7x + -2(-3 + 11)

Reorder the terms:
12 + 8 + 12x + x = 7x + -2(-3 + 11)

Combine like terms: 12 + 8 = 20
20 + 12x + x = 7x + -2(-3 + 11)

Combine like terms: 12x + x = 13x
20 + 13x = 7x + -2(-3 + 11)

Combine like terms: -3 + 11 = 8
20 + 13x = 7x + -2(8)

Multiply -2 * 8
20 + 13x = 7x + -16

Reorder the terms:
20 + 13x = -16 + 7x

Solving
20 + 13x = -16 + 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.
20 + 13x + -7x = -16 + 7x + -7x

Combine like terms: 13x + -7x = 6x
20 + 6x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + 6x = -16 + 0
20 + 6x = -16

Add '-20' to each side of the equation.
20 + -20 + 6x = -16 + -20

Combine like terms: 20 + -20 = 0
0 + 6x = -16 + -20
6x = -16 + -20

Combine like terms: -16 + -20 = -36
6x = -36

Divide each side by '6'.
x = -6

Simplifying
x = -6

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