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

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


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

Reorder the terms:
-4(3 + x) + -5 = 2(x + -4) + 3
(3 * -4 + x * -4) + -5 = 2(x + -4) + 3
(-12 + -4x) + -5 = 2(x + -4) + 3

Reorder the terms:
-12 + -5 + -4x = 2(x + -4) + 3

Combine like terms: -12 + -5 = -17
-17 + -4x = 2(x + -4) + 3

Reorder the terms:
-17 + -4x = 2(-4 + x) + 3
-17 + -4x = (-4 * 2 + x * 2) + 3
-17 + -4x = (-8 + 2x) + 3

Reorder the terms:
-17 + -4x = -8 + 3 + 2x

Combine like terms: -8 + 3 = -5
-17 + -4x = -5 + 2x

Solving
-17 + -4x = -5 + 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.
-17 + -4x + -2x = -5 + 2x + -2x

Combine like terms: -4x + -2x = -6x
-17 + -6x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-17 + -6x = -5 + 0
-17 + -6x = -5

Add '17' to each side of the equation.
-17 + 17 + -6x = -5 + 17

Combine like terms: -17 + 17 = 0
0 + -6x = -5 + 17
-6x = -5 + 17

Combine like terms: -5 + 17 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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