3(x+4)-6=2(2x+5)

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Solution for 3(x+4)-6=2(2x+5) equation:


Simplifying
3(x + 4) + -6 = 2(2x + 5)

Reorder the terms:
3(4 + x) + -6 = 2(2x + 5)
(4 * 3 + x * 3) + -6 = 2(2x + 5)
(12 + 3x) + -6 = 2(2x + 5)

Reorder the terms:
12 + -6 + 3x = 2(2x + 5)

Combine like terms: 12 + -6 = 6
6 + 3x = 2(2x + 5)

Reorder the terms:
6 + 3x = 2(5 + 2x)
6 + 3x = (5 * 2 + 2x * 2)
6 + 3x = (10 + 4x)

Solving
6 + 3x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 3x + -4x = 10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 10 + 0
6 + -1x = 10

Add '-6' to each side of the equation.
6 + -6 + -1x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 10 + -6
-1x = 10 + -6

Combine like terms: 10 + -6 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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