4(x+7)+5=-2(x-5)-1

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Solution for 4(x+7)+5=-2(x-5)-1 equation: 


Simplifying
4(x + 7) + 5 = -2(x + -5) + -1

Reorder the terms:
4(7 + x) + 5 = -2(x + -5) + -1
(7 * 4 + x * 4) + 5 = -2(x + -5) + -1
(28 + 4x) + 5 = -2(x + -5) + -1

Reorder the terms:
28 + 5 + 4x = -2(x + -5) + -1

Combine like terms: 28 + 5 = 33
33 + 4x = -2(x + -5) + -1

Reorder the terms:
33 + 4x = -2(-5 + x) + -1
33 + 4x = (-5 * -2 + x * -2) + -1
33 + 4x = (10 + -2x) + -1

Reorder the terms:
33 + 4x = 10 + -1 + -2x

Combine like terms: 10 + -1 = 9
33 + 4x = 9 + -2x

Solving
33 + 4x = 9 + -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.
33 + 4x + 2x = 9 + -2x + 2x

Combine like terms: 4x + 2x = 6x
33 + 6x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
33 + 6x = 9 + 0
33 + 6x = 9

Add '-33' to each side of the equation.
33 + -33 + 6x = 9 + -33

Combine like terms: 33 + -33 = 0
0 + 6x = 9 + -33
6x = 9 + -33

Combine like terms: 9 + -33 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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