3(1+4x)-2(5x-3)=0

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Solution for 3(1+4x)-2(5x-3)=0 equation: 


Simplifying
3(1 + 4x) + -2(5x + -3) = 0
(1 * 3 + 4x * 3) + -2(5x + -3) = 0
(3 + 12x) + -2(5x + -3) = 0

Reorder the terms:
3 + 12x + -2(-3 + 5x) = 0
3 + 12x + (-3 * -2 + 5x * -2) = 0
3 + 12x + (6 + -10x) = 0

Reorder the terms:
3 + 6 + 12x + -10x = 0

Combine like terms: 3 + 6 = 9
9 + 12x + -10x = 0

Combine like terms: 12x + -10x = 2x
9 + 2x = 0

Solving
9 + 2x = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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