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

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


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

Reorder the terms:
5(9 + 3x) + -2x = 15 + -2(x + -5)
(9 * 5 + 3x * 5) + -2x = 15 + -2(x + -5)
(45 + 15x) + -2x = 15 + -2(x + -5)

Combine like terms: 15x + -2x = 13x
45 + 13x = 15 + -2(x + -5)

Reorder the terms:
45 + 13x = 15 + -2(-5 + x)
45 + 13x = 15 + (-5 * -2 + x * -2)
45 + 13x = 15 + (10 + -2x)

Combine like terms: 15 + 10 = 25
45 + 13x = 25 + -2x

Solving
45 + 13x = 25 + -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.
45 + 13x + 2x = 25 + -2x + 2x

Combine like terms: 13x + 2x = 15x
45 + 15x = 25 + -2x + 2x

Combine like terms: -2x + 2x = 0
45 + 15x = 25 + 0
45 + 15x = 25

Add '-45' to each side of the equation.
45 + -45 + 15x = 25 + -45

Combine like terms: 45 + -45 = 0
0 + 15x = 25 + -45
15x = 25 + -45

Combine like terms: 25 + -45 = -20
15x = -20

Divide each side by '15'.
x = -1.333333333

Simplifying
x = -1.333333333

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