3(x+2)+5=6(x-1)-4

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Solution for 3(x+2)+5=6(x-1)-4 equation: 


Simplifying
3(x + 2) + 5 = 6(x + -1) + -4

Reorder the terms:
3(2 + x) + 5 = 6(x + -1) + -4
(2 * 3 + x * 3) + 5 = 6(x + -1) + -4
(6 + 3x) + 5 = 6(x + -1) + -4

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

Combine like terms: 6 + 5 = 11
11 + 3x = 6(x + -1) + -4

Reorder the terms:
11 + 3x = 6(-1 + x) + -4
11 + 3x = (-1 * 6 + x * 6) + -4
11 + 3x = (-6 + 6x) + -4

Reorder the terms:
11 + 3x = -6 + -4 + 6x

Combine like terms: -6 + -4 = -10
11 + 3x = -10 + 6x

Solving
11 + 3x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + 3x + -6x = -10 + 6x + -6x

Combine like terms: 3x + -6x = -3x
11 + -3x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -3x = -10 + 0
11 + -3x = -10

Add '-11' to each side of the equation.
11 + -11 + -3x = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = -10 + -11
-3x = -10 + -11

Combine like terms: -10 + -11 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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