24-14x=5(7x+3)-5(-4-4x)

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Solution for 24-14x=5(7x+3)-5(-4-4x) equation:


Simplifying
24 + -14x = 5(7x + 3) + -5(-4 + -4x)

Reorder the terms:
24 + -14x = 5(3 + 7x) + -5(-4 + -4x)
24 + -14x = (3 * 5 + 7x * 5) + -5(-4 + -4x)
24 + -14x = (15 + 35x) + -5(-4 + -4x)
24 + -14x = 15 + 35x + (-4 * -5 + -4x * -5)
24 + -14x = 15 + 35x + (20 + 20x)

Reorder the terms:
24 + -14x = 15 + 20 + 35x + 20x

Combine like terms: 15 + 20 = 35
24 + -14x = 35 + 35x + 20x

Combine like terms: 35x + 20x = 55x
24 + -14x = 35 + 55x

Solving
24 + -14x = 35 + 55x

Solving for variable 'x'.

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

Add '-55x' to each side of the equation.
24 + -14x + -55x = 35 + 55x + -55x

Combine like terms: -14x + -55x = -69x
24 + -69x = 35 + 55x + -55x

Combine like terms: 55x + -55x = 0
24 + -69x = 35 + 0
24 + -69x = 35

Add '-24' to each side of the equation.
24 + -24 + -69x = 35 + -24

Combine like terms: 24 + -24 = 0
0 + -69x = 35 + -24
-69x = 35 + -24

Combine like terms: 35 + -24 = 11
-69x = 11

Divide each side by '-69'.
x = -0.1594202899

Simplifying
x = -0.1594202899

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