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

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


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

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

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

Combine like terms: 6 + -2 = 4
4 + 2x = 3(2x + 5)

Reorder the terms:
4 + 2x = 3(5 + 2x)
4 + 2x = (5 * 3 + 2x * 3)
4 + 2x = (15 + 6x)

Solving
4 + 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.
4 + 2x + -6x = 15 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
4 + -4x = 15 + 0
4 + -4x = 15

Add '-4' to each side of the equation.
4 + -4 + -4x = 15 + -4

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

Combine like terms: 15 + -4 = 11
-4x = 11

Divide each side by '-4'.
x = -2.75

Simplifying
x = -2.75

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