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

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


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

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

Reorder the terms:
1 + 2x = -3(-5 + 2x)
1 + 2x = (-5 * -3 + 2x * -3)
1 + 2x = (15 + -6x)

Solving
1 + 2x = 15 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
1 + 2x + 6x = 15 + -6x + 6x

Combine like terms: 2x + 6x = 8x
1 + 8x = 15 + -6x + 6x

Combine like terms: -6x + 6x = 0
1 + 8x = 15 + 0
1 + 8x = 15

Add '-1' to each side of the equation.
1 + -1 + 8x = 15 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 15 + -1
8x = 15 + -1

Combine like terms: 15 + -1 = 14
8x = 14

Divide each side by '8'.
x = 1.75

Simplifying
x = 1.75

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