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

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Solution for 8(x-3)-4x=5(2x-4) equation:


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

Reorder the terms:
8(-3 + x) + -4x = 5(2x + -4)
(-3 * 8 + x * 8) + -4x = 5(2x + -4)
(-24 + 8x) + -4x = 5(2x + -4)

Combine like terms: 8x + -4x = 4x
-24 + 4x = 5(2x + -4)

Reorder the terms:
-24 + 4x = 5(-4 + 2x)
-24 + 4x = (-4 * 5 + 2x * 5)
-24 + 4x = (-20 + 10x)

Solving
-24 + 4x = -20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-24 + 4x + -10x = -20 + 10x + -10x

Combine like terms: 4x + -10x = -6x
-24 + -6x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-24 + -6x = -20 + 0
-24 + -6x = -20

Add '24' to each side of the equation.
-24 + 24 + -6x = -20 + 24

Combine like terms: -24 + 24 = 0
0 + -6x = -20 + 24
-6x = -20 + 24

Combine like terms: -20 + 24 = 4
-6x = 4

Divide each side by '-6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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