3(4x+1)-5(x-3)=

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Solution for 3(4x+1)-5(x-3)= equation:


Simplifying
3(4x + 1) + -5(x + -3) = 0

Reorder the terms:
3(1 + 4x) + -5(x + -3) = 0
(1 * 3 + 4x * 3) + -5(x + -3) = 0
(3 + 12x) + -5(x + -3) = 0

Reorder the terms:
3 + 12x + -5(-3 + x) = 0
3 + 12x + (-3 * -5 + x * -5) = 0
3 + 12x + (15 + -5x) = 0

Reorder the terms:
3 + 15 + 12x + -5x = 0

Combine like terms: 3 + 15 = 18
18 + 12x + -5x = 0

Combine like terms: 12x + -5x = 7x
18 + 7x = 0

Solving
18 + 7x = 0

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 7x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = 0 + -18
7x = 0 + -18

Combine like terms: 0 + -18 = -18
7x = -18

Divide each side by '7'.
x = -2.571428571

Simplifying
x = -2.571428571

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