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

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Solution for 2(x+1)+3(2x-5)=15 equation: 


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

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

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

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

Combine like terms: 2 + -15 = -13
-13 + 2x + 6x = 15

Combine like terms: 2x + 6x = 8x
-13 + 8x = 15

Solving
-13 + 8x = 15

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 8x = 15 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = 15 + 13
8x = 15 + 13

Combine like terms: 15 + 13 = 28
8x = 28

Divide each side by '8'.
x = 3.5

Simplifying
x = 3.5

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