4(x+6)+3=-3(x-7)-1

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Solution for 4(x+6)+3=-3(x-7)-1 equation: 


Simplifying
4(x + 6) + 3 = -3(x + -7) + -1

Reorder the terms:
4(6 + x) + 3 = -3(x + -7) + -1
(6 * 4 + x * 4) + 3 = -3(x + -7) + -1
(24 + 4x) + 3 = -3(x + -7) + -1

Reorder the terms:
24 + 3 + 4x = -3(x + -7) + -1

Combine like terms: 24 + 3 = 27
27 + 4x = -3(x + -7) + -1

Reorder the terms:
27 + 4x = -3(-7 + x) + -1
27 + 4x = (-7 * -3 + x * -3) + -1
27 + 4x = (21 + -3x) + -1

Reorder the terms:
27 + 4x = 21 + -1 + -3x

Combine like terms: 21 + -1 = 20
27 + 4x = 20 + -3x

Solving
27 + 4x = 20 + -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.
27 + 4x + 3x = 20 + -3x + 3x

Combine like terms: 4x + 3x = 7x
27 + 7x = 20 + -3x + 3x

Combine like terms: -3x + 3x = 0
27 + 7x = 20 + 0
27 + 7x = 20

Add '-27' to each side of the equation.
27 + -27 + 7x = 20 + -27

Combine like terms: 27 + -27 = 0
0 + 7x = 20 + -27
7x = 20 + -27

Combine like terms: 20 + -27 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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