3(4x+3)+7(6x+1)=43

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Solution for 3(4x+3)+7(6x+1)=43 equation:


Simplifying
3(4x + 3) + 7(6x + 1) = 43

Reorder the terms:
3(3 + 4x) + 7(6x + 1) = 43
(3 * 3 + 4x * 3) + 7(6x + 1) = 43
(9 + 12x) + 7(6x + 1) = 43

Reorder the terms:
9 + 12x + 7(1 + 6x) = 43
9 + 12x + (1 * 7 + 6x * 7) = 43
9 + 12x + (7 + 42x) = 43

Reorder the terms:
9 + 7 + 12x + 42x = 43

Combine like terms: 9 + 7 = 16
16 + 12x + 42x = 43

Combine like terms: 12x + 42x = 54x
16 + 54x = 43

Solving
16 + 54x = 43

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 54x = 43 + -16

Combine like terms: 16 + -16 = 0
0 + 54x = 43 + -16
54x = 43 + -16

Combine like terms: 43 + -16 = 27
54x = 27

Divide each side by '54'.
x = 0.5

Simplifying
x = 0.5

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