3(x+13)15=4(x-2)-9

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Solution for 3(x+13)15=4(x-2)-9 equation:


Simplifying
3(x + 13) * 15 = 4(x + -2) + -9

Reorder the terms:
3(13 + x) * 15 = 4(x + -2) + -9

Reorder the terms for easier multiplication:
3 * 15(13 + x) = 4(x + -2) + -9

Multiply 3 * 15
45(13 + x) = 4(x + -2) + -9
(13 * 45 + x * 45) = 4(x + -2) + -9
(585 + 45x) = 4(x + -2) + -9

Reorder the terms:
585 + 45x = 4(-2 + x) + -9
585 + 45x = (-2 * 4 + x * 4) + -9
585 + 45x = (-8 + 4x) + -9

Reorder the terms:
585 + 45x = -8 + -9 + 4x

Combine like terms: -8 + -9 = -17
585 + 45x = -17 + 4x

Solving
585 + 45x = -17 + 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.
585 + 45x + -4x = -17 + 4x + -4x

Combine like terms: 45x + -4x = 41x
585 + 41x = -17 + 4x + -4x

Combine like terms: 4x + -4x = 0
585 + 41x = -17 + 0
585 + 41x = -17

Add '-585' to each side of the equation.
585 + -585 + 41x = -17 + -585

Combine like terms: 585 + -585 = 0
0 + 41x = -17 + -585
41x = -17 + -585

Combine like terms: -17 + -585 = -602
41x = -602

Divide each side by '41'.
x = -14.68292683

Simplifying
x = -14.68292683

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