8(10+3x)-2=15x+24

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Solution for 8(10+3x)-2=15x+24 equation:


Simplifying
8(10 + 3x) + -2 = 15x + 24
(10 * 8 + 3x * 8) + -2 = 15x + 24
(80 + 24x) + -2 = 15x + 24

Reorder the terms:
80 + -2 + 24x = 15x + 24

Combine like terms: 80 + -2 = 78
78 + 24x = 15x + 24

Reorder the terms:
78 + 24x = 24 + 15x

Solving
78 + 24x = 24 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
78 + 24x + -15x = 24 + 15x + -15x

Combine like terms: 24x + -15x = 9x
78 + 9x = 24 + 15x + -15x

Combine like terms: 15x + -15x = 0
78 + 9x = 24 + 0
78 + 9x = 24

Add '-78' to each side of the equation.
78 + -78 + 9x = 24 + -78

Combine like terms: 78 + -78 = 0
0 + 9x = 24 + -78
9x = 24 + -78

Combine like terms: 24 + -78 = -54
9x = -54

Divide each side by '9'.
x = -6

Simplifying
x = -6

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