3(4x+1)=8-5(4x-3)

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Solution for 3(4x+1)=8-5(4x-3) equation:


Simplifying
3(4x + 1) = 8 + -5(4x + -3)

Reorder the terms:
3(1 + 4x) = 8 + -5(4x + -3)
(1 * 3 + 4x * 3) = 8 + -5(4x + -3)
(3 + 12x) = 8 + -5(4x + -3)

Reorder the terms:
3 + 12x = 8 + -5(-3 + 4x)
3 + 12x = 8 + (-3 * -5 + 4x * -5)
3 + 12x = 8 + (15 + -20x)

Combine like terms: 8 + 15 = 23
3 + 12x = 23 + -20x

Solving
3 + 12x = 23 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
3 + 12x + 20x = 23 + -20x + 20x

Combine like terms: 12x + 20x = 32x
3 + 32x = 23 + -20x + 20x

Combine like terms: -20x + 20x = 0
3 + 32x = 23 + 0
3 + 32x = 23

Add '-3' to each side of the equation.
3 + -3 + 32x = 23 + -3

Combine like terms: 3 + -3 = 0
0 + 32x = 23 + -3
32x = 23 + -3

Combine like terms: 23 + -3 = 20
32x = 20

Divide each side by '32'.
x = 0.625

Simplifying
x = 0.625

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