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

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


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

Reorder the terms:
2(5 + -3x) + 3x = 15
(5 * 2 + -3x * 2) + 3x = 15
(10 + -6x) + 3x = 15

Combine like terms: -6x + 3x = -3x
10 + -3x = 15

Solving
10 + -3x = 15

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 15 + -10
-3x = 15 + -10

Combine like terms: 15 + -10 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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