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

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


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

Combine like terms: 3 + 9 = 12
5(12) + -2x = 15x + -2(x + -5)

Multiply 5 * 12
60 + -2x = 15x + -2(x + -5)

Reorder the terms:
60 + -2x = 15x + -2(-5 + x)
60 + -2x = 15x + (-5 * -2 + x * -2)
60 + -2x = 15x + (10 + -2x)

Reorder the terms:
60 + -2x = 10 + 15x + -2x

Combine like terms: 15x + -2x = 13x
60 + -2x = 10 + 13x

Solving
60 + -2x = 10 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
60 + -2x + -13x = 10 + 13x + -13x

Combine like terms: -2x + -13x = -15x
60 + -15x = 10 + 13x + -13x

Combine like terms: 13x + -13x = 0
60 + -15x = 10 + 0
60 + -15x = 10

Add '-60' to each side of the equation.
60 + -60 + -15x = 10 + -60

Combine like terms: 60 + -60 = 0
0 + -15x = 10 + -60
-15x = 10 + -60

Combine like terms: 10 + -60 = -50
-15x = -50

Divide each side by '-15'.
x = 3.333333333

Simplifying
x = 3.333333333

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