6(3x+4)+7(x+4)=6

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Solution for 6(3x+4)+7(x+4)=6 equation:


Simplifying
6(3x + 4) + 7(x + 4) = 6

Reorder the terms:
6(4 + 3x) + 7(x + 4) = 6
(4 * 6 + 3x * 6) + 7(x + 4) = 6
(24 + 18x) + 7(x + 4) = 6

Reorder the terms:
24 + 18x + 7(4 + x) = 6
24 + 18x + (4 * 7 + x * 7) = 6
24 + 18x + (28 + 7x) = 6

Reorder the terms:
24 + 28 + 18x + 7x = 6

Combine like terms: 24 + 28 = 52
52 + 18x + 7x = 6

Combine like terms: 18x + 7x = 25x
52 + 25x = 6

Solving
52 + 25x = 6

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 25x = 6 + -52

Combine like terms: 52 + -52 = 0
0 + 25x = 6 + -52
25x = 6 + -52

Combine like terms: 6 + -52 = -46
25x = -46

Divide each side by '25'.
x = -1.84

Simplifying
x = -1.84

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