2(x-1)+6=3(x+5)

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Solution for 2(x-1)+6=3(x+5) equation:


Simplifying
2(x + -1) + 6 = 3(x + 5)

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

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

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

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

Solving
4 + 2x = 15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 2x + -3x = 15 + 3x + -3x

Combine like terms: 2x + -3x = -1x
4 + -1x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -1x = 15 + 0
4 + -1x = 15

Add '-4' to each side of the equation.
4 + -4 + -1x = 15 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 15 + -4
-1x = 15 + -4

Combine like terms: 15 + -4 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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