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

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


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

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

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

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

Reorder the terms:
6 + 3x = -5 + 5x

Solving
6 + 3x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 3x + -5x = -5 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
6 + -2x = -5 + 0
6 + -2x = -5

Add '-6' to each side of the equation.
6 + -6 + -2x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -5 + -6
-2x = -5 + -6

Combine like terms: -5 + -6 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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