3(x-4)+4(x+8)=10-5(x-3)

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Solution for 3(x-4)+4(x+8)=10-5(x-3) equation:


Simplifying
3(x + -4) + 4(x + 8) = 10 + -5(x + -3)

Reorder the terms:
3(-4 + x) + 4(x + 8) = 10 + -5(x + -3)
(-4 * 3 + x * 3) + 4(x + 8) = 10 + -5(x + -3)
(-12 + 3x) + 4(x + 8) = 10 + -5(x + -3)

Reorder the terms:
-12 + 3x + 4(8 + x) = 10 + -5(x + -3)
-12 + 3x + (8 * 4 + x * 4) = 10 + -5(x + -3)
-12 + 3x + (32 + 4x) = 10 + -5(x + -3)

Reorder the terms:
-12 + 32 + 3x + 4x = 10 + -5(x + -3)

Combine like terms: -12 + 32 = 20
20 + 3x + 4x = 10 + -5(x + -3)

Combine like terms: 3x + 4x = 7x
20 + 7x = 10 + -5(x + -3)

Reorder the terms:
20 + 7x = 10 + -5(-3 + x)
20 + 7x = 10 + (-3 * -5 + x * -5)
20 + 7x = 10 + (15 + -5x)

Combine like terms: 10 + 15 = 25
20 + 7x = 25 + -5x

Solving
20 + 7x = 25 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
20 + 7x + 5x = 25 + -5x + 5x

Combine like terms: 7x + 5x = 12x
20 + 12x = 25 + -5x + 5x

Combine like terms: -5x + 5x = 0
20 + 12x = 25 + 0
20 + 12x = 25

Add '-20' to each side of the equation.
20 + -20 + 12x = 25 + -20

Combine like terms: 20 + -20 = 0
0 + 12x = 25 + -20
12x = 25 + -20

Combine like terms: 25 + -20 = 5
12x = 5

Divide each side by '12'.
x = 0.4166666667

Simplifying
x = 0.4166666667

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