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

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


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

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

Remove parenthesis around (1 + 2x)
1 + 2x + -3(2x + -3) = 15

Reorder the terms:
1 + 2x + -3(-3 + 2x) = 15
1 + 2x + (-3 * -3 + 2x * -3) = 15
1 + 2x + (9 + -6x) = 15

Reorder the terms:
1 + 9 + 2x + -6x = 15

Combine like terms: 1 + 9 = 10
10 + 2x + -6x = 15

Combine like terms: 2x + -6x = -4x
10 + -4x = 15

Solving
10 + -4x = 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 + -4x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 15 + -10
-4x = 15 + -10

Combine like terms: 15 + -10 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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