8x-3(5-2x)=4(15-x)-5(x+4)

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Solution for 8x-3(5-2x)=4(15-x)-5(x+4) equation:


Simplifying
8x + -3(5 + -2x) = 4(15 + -1x) + -5(x + 4)
8x + (5 * -3 + -2x * -3) = 4(15 + -1x) + -5(x + 4)
8x + (-15 + 6x) = 4(15 + -1x) + -5(x + 4)

Reorder the terms:
-15 + 8x + 6x = 4(15 + -1x) + -5(x + 4)

Combine like terms: 8x + 6x = 14x
-15 + 14x = 4(15 + -1x) + -5(x + 4)
-15 + 14x = (15 * 4 + -1x * 4) + -5(x + 4)
-15 + 14x = (60 + -4x) + -5(x + 4)

Reorder the terms:
-15 + 14x = 60 + -4x + -5(4 + x)
-15 + 14x = 60 + -4x + (4 * -5 + x * -5)
-15 + 14x = 60 + -4x + (-20 + -5x)

Reorder the terms:
-15 + 14x = 60 + -20 + -4x + -5x

Combine like terms: 60 + -20 = 40
-15 + 14x = 40 + -4x + -5x

Combine like terms: -4x + -5x = -9x
-15 + 14x = 40 + -9x

Solving
-15 + 14x = 40 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-15 + 14x + 9x = 40 + -9x + 9x

Combine like terms: 14x + 9x = 23x
-15 + 23x = 40 + -9x + 9x

Combine like terms: -9x + 9x = 0
-15 + 23x = 40 + 0
-15 + 23x = 40

Add '15' to each side of the equation.
-15 + 15 + 23x = 40 + 15

Combine like terms: -15 + 15 = 0
0 + 23x = 40 + 15
23x = 40 + 15

Combine like terms: 40 + 15 = 55
23x = 55

Divide each side by '23'.
x = 2.391304348

Simplifying
x = 2.391304348

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