5(3-x)=1-3(6+4x)

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Solution for 5(3-x)=1-3(6+4x) equation: 


Simplifying
5(3 + -1x) = 1 + -3(6 + 4x)
(3 * 5 + -1x * 5) = 1 + -3(6 + 4x)
(15 + -5x) = 1 + -3(6 + 4x)
15 + -5x = 1 + (6 * -3 + 4x * -3)
15 + -5x = 1 + (-18 + -12x)

Combine like terms: 1 + -18 = -17
15 + -5x = -17 + -12x

Solving
15 + -5x = -17 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
15 + -5x + 12x = -17 + -12x + 12x

Combine like terms: -5x + 12x = 7x
15 + 7x = -17 + -12x + 12x

Combine like terms: -12x + 12x = 0
15 + 7x = -17 + 0
15 + 7x = -17

Add '-15' to each side of the equation.
15 + -15 + 7x = -17 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = -17 + -15
7x = -17 + -15

Combine like terms: -17 + -15 = -32
7x = -32

Divide each side by '7'.
x = -4.571428571

Simplifying
x = -4.571428571

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