5(x+15)+2(-x+9)=-3

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Solution for 5(x+15)+2(-x+9)=-3 equation:


Simplifying
5(x + 15) + 2(-1x + 9) = -3

Reorder the terms:
5(15 + x) + 2(-1x + 9) = -3
(15 * 5 + x * 5) + 2(-1x + 9) = -3
(75 + 5x) + 2(-1x + 9) = -3

Reorder the terms:
75 + 5x + 2(9 + -1x) = -3
75 + 5x + (9 * 2 + -1x * 2) = -3
75 + 5x + (18 + -2x) = -3

Reorder the terms:
75 + 18 + 5x + -2x = -3

Combine like terms: 75 + 18 = 93
93 + 5x + -2x = -3

Combine like terms: 5x + -2x = 3x
93 + 3x = -3

Solving
93 + 3x = -3

Solving for variable 'x'.

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

Add '-93' to each side of the equation.
93 + -93 + 3x = -3 + -93

Combine like terms: 93 + -93 = 0
0 + 3x = -3 + -93
3x = -3 + -93

Combine like terms: -3 + -93 = -96
3x = -96

Divide each side by '3'.
x = -32

Simplifying
x = -32

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