15(3x+5)=4x-8

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Solution for 15(3x+5)=4x-8 equation:


Simplifying
15(3x + 5) = 4x + -8

Reorder the terms:
15(5 + 3x) = 4x + -8
(5 * 15 + 3x * 15) = 4x + -8
(75 + 45x) = 4x + -8

Reorder the terms:
75 + 45x = -8 + 4x

Solving
75 + 45x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
75 + 45x + -4x = -8 + 4x + -4x

Combine like terms: 45x + -4x = 41x
75 + 41x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
75 + 41x = -8 + 0
75 + 41x = -8

Add '-75' to each side of the equation.
75 + -75 + 41x = -8 + -75

Combine like terms: 75 + -75 = 0
0 + 41x = -8 + -75
41x = -8 + -75

Combine like terms: -8 + -75 = -83
41x = -83

Divide each side by '41'.
x = -2.024390244

Simplifying
x = -2.024390244

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