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

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


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

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

Reorder the terms:
15 + -6 + 3x = 2x + -5

Combine like terms: 15 + -6 = 9
9 + 3x = 2x + -5

Reorder the terms:
9 + 3x = -5 + 2x

Solving
9 + 3x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + 3x + -2x = -5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
9 + 1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 1x = -5 + 0
9 + 1x = -5

Add '-9' to each side of the equation.
9 + -9 + 1x = -5 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = -5 + -9
1x = -5 + -9

Combine like terms: -5 + -9 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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