3(x+5)-3(-8x-7)=-45

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Solution for 3(x+5)-3(-8x-7)=-45 equation:


Simplifying
3(x + 5) + -3(-8x + -7) = -45

Reorder the terms:
3(5 + x) + -3(-8x + -7) = -45
(5 * 3 + x * 3) + -3(-8x + -7) = -45
(15 + 3x) + -3(-8x + -7) = -45

Reorder the terms:
15 + 3x + -3(-7 + -8x) = -45
15 + 3x + (-7 * -3 + -8x * -3) = -45
15 + 3x + (21 + 24x) = -45

Reorder the terms:
15 + 21 + 3x + 24x = -45

Combine like terms: 15 + 21 = 36
36 + 3x + 24x = -45

Combine like terms: 3x + 24x = 27x
36 + 27x = -45

Solving
36 + 27x = -45

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 27x = -45 + -36

Combine like terms: 36 + -36 = 0
0 + 27x = -45 + -36
27x = -45 + -36

Combine like terms: -45 + -36 = -81
27x = -81

Divide each side by '27'.
x = -3

Simplifying
x = -3

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