5(24x+11)=8x-15

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Solution for 5(24x+11)=8x-15 equation:


Simplifying
5(24x + 11) = 8x + -15

Reorder the terms:
5(11 + 24x) = 8x + -15
(11 * 5 + 24x * 5) = 8x + -15
(55 + 120x) = 8x + -15

Reorder the terms:
55 + 120x = -15 + 8x

Solving
55 + 120x = -15 + 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.
55 + 120x + -8x = -15 + 8x + -8x

Combine like terms: 120x + -8x = 112x
55 + 112x = -15 + 8x + -8x

Combine like terms: 8x + -8x = 0
55 + 112x = -15 + 0
55 + 112x = -15

Add '-55' to each side of the equation.
55 + -55 + 112x = -15 + -55

Combine like terms: 55 + -55 = 0
0 + 112x = -15 + -55
112x = -15 + -55

Combine like terms: -15 + -55 = -70
112x = -70

Divide each side by '112'.
x = -0.625

Simplifying
x = -0.625

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