2(x+3)+3(x-7)=2x+15

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Solution for 2(x+3)+3(x-7)=2x+15 equation: 


Simplifying
2(x + 3) + 3(x + -7) = 2x + 15

Reorder the terms:
2(3 + x) + 3(x + -7) = 2x + 15
(3 * 2 + x * 2) + 3(x + -7) = 2x + 15
(6 + 2x) + 3(x + -7) = 2x + 15

Reorder the terms:
6 + 2x + 3(-7 + x) = 2x + 15
6 + 2x + (-7 * 3 + x * 3) = 2x + 15
6 + 2x + (-21 + 3x) = 2x + 15

Reorder the terms:
6 + -21 + 2x + 3x = 2x + 15

Combine like terms: 6 + -21 = -15
-15 + 2x + 3x = 2x + 15

Combine like terms: 2x + 3x = 5x
-15 + 5x = 2x + 15

Reorder the terms:
-15 + 5x = 15 + 2x

Solving
-15 + 5x = 15 + 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.
-15 + 5x + -2x = 15 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-15 + 3x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 3x = 15 + 0
-15 + 3x = 15

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

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

Combine like terms: 15 + 15 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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