5(4x-3)+3(2x-4)=2(12x+5)

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Solution for 5(4x-3)+3(2x-4)=2(12x+5) equation:


Simplifying
5(4x + -3) + 3(2x + -4) = 2(12x + 5)

Reorder the terms:
5(-3 + 4x) + 3(2x + -4) = 2(12x + 5)
(-3 * 5 + 4x * 5) + 3(2x + -4) = 2(12x + 5)
(-15 + 20x) + 3(2x + -4) = 2(12x + 5)

Reorder the terms:
-15 + 20x + 3(-4 + 2x) = 2(12x + 5)
-15 + 20x + (-4 * 3 + 2x * 3) = 2(12x + 5)
-15 + 20x + (-12 + 6x) = 2(12x + 5)

Reorder the terms:
-15 + -12 + 20x + 6x = 2(12x + 5)

Combine like terms: -15 + -12 = -27
-27 + 20x + 6x = 2(12x + 5)

Combine like terms: 20x + 6x = 26x
-27 + 26x = 2(12x + 5)

Reorder the terms:
-27 + 26x = 2(5 + 12x)
-27 + 26x = (5 * 2 + 12x * 2)
-27 + 26x = (10 + 24x)

Solving
-27 + 26x = 10 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-27 + 26x + -24x = 10 + 24x + -24x

Combine like terms: 26x + -24x = 2x
-27 + 2x = 10 + 24x + -24x

Combine like terms: 24x + -24x = 0
-27 + 2x = 10 + 0
-27 + 2x = 10

Add '27' to each side of the equation.
-27 + 27 + 2x = 10 + 27

Combine like terms: -27 + 27 = 0
0 + 2x = 10 + 27
2x = 10 + 27

Combine like terms: 10 + 27 = 37
2x = 37

Divide each side by '2'.
x = 18.5

Simplifying
x = 18.5

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