3(4x+1)=39+5(2x-4)

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Solution for 3(4x+1)=39+5(2x-4) equation:


Simplifying
3(4x + 1) = 39 + 5(2x + -4)

Reorder the terms:
3(1 + 4x) = 39 + 5(2x + -4)
(1 * 3 + 4x * 3) = 39 + 5(2x + -4)
(3 + 12x) = 39 + 5(2x + -4)

Reorder the terms:
3 + 12x = 39 + 5(-4 + 2x)
3 + 12x = 39 + (-4 * 5 + 2x * 5)
3 + 12x = 39 + (-20 + 10x)

Combine like terms: 39 + -20 = 19
3 + 12x = 19 + 10x

Solving
3 + 12x = 19 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
3 + 12x + -10x = 19 + 10x + -10x

Combine like terms: 12x + -10x = 2x
3 + 2x = 19 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + 2x = 19 + 0
3 + 2x = 19

Add '-3' to each side of the equation.
3 + -3 + 2x = 19 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 19 + -3
2x = 19 + -3

Combine like terms: 19 + -3 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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