3*(x+5)+6=7-2*(x-2)

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Solution for 3*(x+5)+6=7-2*(x-2) equation: 


Simplifying
3(x + 5) + 6 = 7 + -2(x + -2)

Reorder the terms:
3(5 + x) + 6 = 7 + -2(x + -2)
(5 * 3 + x * 3) + 6 = 7 + -2(x + -2)
(15 + 3x) + 6 = 7 + -2(x + -2)

Reorder the terms:
15 + 6 + 3x = 7 + -2(x + -2)

Combine like terms: 15 + 6 = 21
21 + 3x = 7 + -2(x + -2)

Reorder the terms:
21 + 3x = 7 + -2(-2 + x)
21 + 3x = 7 + (-2 * -2 + x * -2)
21 + 3x = 7 + (4 + -2x)

Combine like terms: 7 + 4 = 11
21 + 3x = 11 + -2x

Solving
21 + 3x = 11 + -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.
21 + 3x + 2x = 11 + -2x + 2x

Combine like terms: 3x + 2x = 5x
21 + 5x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + 5x = 11 + 0
21 + 5x = 11

Add '-21' to each side of the equation.
21 + -21 + 5x = 11 + -21

Combine like terms: 21 + -21 = 0
0 + 5x = 11 + -21
5x = 11 + -21

Combine like terms: 11 + -21 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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