3(9-8-4x)+8(3x+4)=11

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Solution for 3(9-8-4x)+8(3x+4)=11 equation:


Simplifying
3(9 + -8 + -4x) + 8(3x + 4) = 11

Combine like terms: 9 + -8 = 1
3(1 + -4x) + 8(3x + 4) = 11
(1 * 3 + -4x * 3) + 8(3x + 4) = 11
(3 + -12x) + 8(3x + 4) = 11

Reorder the terms:
3 + -12x + 8(4 + 3x) = 11
3 + -12x + (4 * 8 + 3x * 8) = 11
3 + -12x + (32 + 24x) = 11

Reorder the terms:
3 + 32 + -12x + 24x = 11

Combine like terms: 3 + 32 = 35
35 + -12x + 24x = 11

Combine like terms: -12x + 24x = 12x
35 + 12x = 11

Solving
35 + 12x = 11

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + 12x = 11 + -35

Combine like terms: 35 + -35 = 0
0 + 12x = 11 + -35
12x = 11 + -35

Combine like terms: 11 + -35 = -24
12x = -24

Divide each side by '12'.
x = -2

Simplifying
x = -2

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