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

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


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

Reorder the terms:
4(2 + x) + 2 = -3(x + -6) + -1
(2 * 4 + x * 4) + 2 = -3(x + -6) + -1
(8 + 4x) + 2 = -3(x + -6) + -1

Reorder the terms:
8 + 2 + 4x = -3(x + -6) + -1

Combine like terms: 8 + 2 = 10
10 + 4x = -3(x + -6) + -1

Reorder the terms:
10 + 4x = -3(-6 + x) + -1
10 + 4x = (-6 * -3 + x * -3) + -1
10 + 4x = (18 + -3x) + -1

Reorder the terms:
10 + 4x = 18 + -1 + -3x

Combine like terms: 18 + -1 = 17
10 + 4x = 17 + -3x

Solving
10 + 4x = 17 + -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.
10 + 4x + 3x = 17 + -3x + 3x

Combine like terms: 4x + 3x = 7x
10 + 7x = 17 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 7x = 17 + 0
10 + 7x = 17

Add '-10' to each side of the equation.
10 + -10 + 7x = 17 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 17 + -10
7x = 17 + -10

Combine like terms: 17 + -10 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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