3(x+4)+4(2x+7)=106

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Solution for 3(x+4)+4(2x+7)=106 equation: 


Simplifying
3(x + 4) + 4(2x + 7) = 106

Reorder the terms:
3(4 + x) + 4(2x + 7) = 106
(4 * 3 + x * 3) + 4(2x + 7) = 106
(12 + 3x) + 4(2x + 7) = 106

Reorder the terms:
12 + 3x + 4(7 + 2x) = 106
12 + 3x + (7 * 4 + 2x * 4) = 106
12 + 3x + (28 + 8x) = 106

Reorder the terms:
12 + 28 + 3x + 8x = 106

Combine like terms: 12 + 28 = 40
40 + 3x + 8x = 106

Combine like terms: 3x + 8x = 11x
40 + 11x = 106

Solving
40 + 11x = 106

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 11x = 106 + -40

Combine like terms: 40 + -40 = 0
0 + 11x = 106 + -40
11x = 106 + -40

Combine like terms: 106 + -40 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6

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