4(x-4)-8=-3(-8x+9)-5x

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Solution for 4(x-4)-8=-3(-8x+9)-5x equation:


Simplifying
4(x + -4) + -8 = -3(-8x + 9) + -5x

Reorder the terms:
4(-4 + x) + -8 = -3(-8x + 9) + -5x
(-4 * 4 + x * 4) + -8 = -3(-8x + 9) + -5x
(-16 + 4x) + -8 = -3(-8x + 9) + -5x

Reorder the terms:
-16 + -8 + 4x = -3(-8x + 9) + -5x

Combine like terms: -16 + -8 = -24
-24 + 4x = -3(-8x + 9) + -5x

Reorder the terms:
-24 + 4x = -3(9 + -8x) + -5x
-24 + 4x = (9 * -3 + -8x * -3) + -5x
-24 + 4x = (-27 + 24x) + -5x

Combine like terms: 24x + -5x = 19x
-24 + 4x = -27 + 19x

Solving
-24 + 4x = -27 + 19x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-19x' to each side of the equation.
-24 + 4x + -19x = -27 + 19x + -19x

Combine like terms: 4x + -19x = -15x
-24 + -15x = -27 + 19x + -19x

Combine like terms: 19x + -19x = 0
-24 + -15x = -27 + 0
-24 + -15x = -27

Add '24' to each side of the equation.
-24 + 24 + -15x = -27 + 24

Combine like terms: -24 + 24 = 0
0 + -15x = -27 + 24
-15x = -27 + 24

Combine like terms: -27 + 24 = -3
-15x = -3

Divide each side by '-15'.
x = 0.2

Simplifying
x = 0.2

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