12x+20=5(4x+3)-4(3x-5)

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Solution for 12x+20=5(4x+3)-4(3x-5) equation:


Simplifying
12x + 20 = 5(4x + 3) + -4(3x + -5)

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

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

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

Reorder the terms:
20 + 12x = 15 + 20 + 20x + -12x

Combine like terms: 15 + 20 = 35
20 + 12x = 35 + 20x + -12x

Combine like terms: 20x + -12x = 8x
20 + 12x = 35 + 8x

Solving
20 + 12x = 35 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + 12x + -8x = 35 + 8x + -8x

Combine like terms: 12x + -8x = 4x
20 + 4x = 35 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + 4x = 35 + 0
20 + 4x = 35

Add '-20' to each side of the equation.
20 + -20 + 4x = 35 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = 35 + -20
4x = 35 + -20

Combine like terms: 35 + -20 = 15
4x = 15

Divide each side by '4'.
x = 3.75

Simplifying
x = 3.75

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