3(x+4)+6=5(x-1)+1

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Solution for 3(x+4)+6=5(x-1)+1 equation:


Simplifying
3(x + 4) + 6 = 5(x + -1) + 1

Reorder the terms:
3(4 + x) + 6 = 5(x + -1) + 1
(4 * 3 + x * 3) + 6 = 5(x + -1) + 1
(12 + 3x) + 6 = 5(x + -1) + 1

Reorder the terms:
12 + 6 + 3x = 5(x + -1) + 1

Combine like terms: 12 + 6 = 18
18 + 3x = 5(x + -1) + 1

Reorder the terms:
18 + 3x = 5(-1 + x) + 1
18 + 3x = (-1 * 5 + x * 5) + 1
18 + 3x = (-5 + 5x) + 1

Reorder the terms:
18 + 3x = -5 + 1 + 5x

Combine like terms: -5 + 1 = -4
18 + 3x = -4 + 5x

Solving
18 + 3x = -4 + 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.
18 + 3x + -5x = -4 + 5x + -5x

Combine like terms: 3x + -5x = -2x
18 + -2x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -2x = -4 + 0
18 + -2x = -4

Add '-18' to each side of the equation.
18 + -18 + -2x = -4 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = -4 + -18
-2x = -4 + -18

Combine like terms: -4 + -18 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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