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

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


Simplifying
15(x + 4) = 2(x + -3) + -3

Reorder the terms:
15(4 + x) = 2(x + -3) + -3
(4 * 15 + x * 15) = 2(x + -3) + -3
(60 + 15x) = 2(x + -3) + -3

Reorder the terms:
60 + 15x = 2(-3 + x) + -3
60 + 15x = (-3 * 2 + x * 2) + -3
60 + 15x = (-6 + 2x) + -3

Reorder the terms:
60 + 15x = -6 + -3 + 2x

Combine like terms: -6 + -3 = -9
60 + 15x = -9 + 2x

Solving
60 + 15x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
60 + 15x + -2x = -9 + 2x + -2x

Combine like terms: 15x + -2x = 13x
60 + 13x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
60 + 13x = -9 + 0
60 + 13x = -9

Add '-60' to each side of the equation.
60 + -60 + 13x = -9 + -60

Combine like terms: 60 + -60 = 0
0 + 13x = -9 + -60
13x = -9 + -60

Combine like terms: -9 + -60 = -69
13x = -69

Divide each side by '13'.
x = -5.307692308

Simplifying
x = -5.307692308

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