3(2x+3)-4(x-5)=1

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Solution for 3(2x+3)-4(x-5)=1 equation: 


Simplifying
3(2x + 3) + -4(x + -5) = 1

Reorder the terms:
3(3 + 2x) + -4(x + -5) = 1
(3 * 3 + 2x * 3) + -4(x + -5) = 1
(9 + 6x) + -4(x + -5) = 1

Reorder the terms:
9 + 6x + -4(-5 + x) = 1
9 + 6x + (-5 * -4 + x * -4) = 1
9 + 6x + (20 + -4x) = 1

Reorder the terms:
9 + 20 + 6x + -4x = 1

Combine like terms: 9 + 20 = 29
29 + 6x + -4x = 1

Combine like terms: 6x + -4x = 2x
29 + 2x = 1

Solving
29 + 2x = 1

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + 2x = 1 + -29

Combine like terms: 29 + -29 = 0
0 + 2x = 1 + -29
2x = 1 + -29

Combine like terms: 1 + -29 = -28
2x = -28

Divide each side by '2'.
x = -14

Simplifying
x = -14

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