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

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


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

Reorder the terms:
3(2 + x) + -2(x + -5) = 1
(2 * 3 + x * 3) + -2(x + -5) = 1
(6 + 3x) + -2(x + -5) = 1

Reorder the terms:
6 + 3x + -2(-5 + x) = 1
6 + 3x + (-5 * -2 + x * -2) = 1
6 + 3x + (10 + -2x) = 1

Reorder the terms:
6 + 10 + 3x + -2x = 1

Combine like terms: 6 + 10 = 16
16 + 3x + -2x = 1

Combine like terms: 3x + -2x = 1x
16 + 1x = 1

Solving
16 + 1x = 1

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 1x = 1 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 1 + -16
1x = 1 + -16

Combine like terms: 1 + -16 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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