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

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


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

Reorder the terms:
4(-5 + 2x) + 8(3x + -5) = 5(4x + -3) + -3(2x + -3)
(-5 * 4 + 2x * 4) + 8(3x + -5) = 5(4x + -3) + -3(2x + -3)
(-20 + 8x) + 8(3x + -5) = 5(4x + -3) + -3(2x + -3)

Reorder the terms:
-20 + 8x + 8(-5 + 3x) = 5(4x + -3) + -3(2x + -3)
-20 + 8x + (-5 * 8 + 3x * 8) = 5(4x + -3) + -3(2x + -3)
-20 + 8x + (-40 + 24x) = 5(4x + -3) + -3(2x + -3)

Reorder the terms:
-20 + -40 + 8x + 24x = 5(4x + -3) + -3(2x + -3)

Combine like terms: -20 + -40 = -60
-60 + 8x + 24x = 5(4x + -3) + -3(2x + -3)

Combine like terms: 8x + 24x = 32x
-60 + 32x = 5(4x + -3) + -3(2x + -3)

Reorder the terms:
-60 + 32x = 5(-3 + 4x) + -3(2x + -3)
-60 + 32x = (-3 * 5 + 4x * 5) + -3(2x + -3)
-60 + 32x = (-15 + 20x) + -3(2x + -3)

Reorder the terms:
-60 + 32x = -15 + 20x + -3(-3 + 2x)
-60 + 32x = -15 + 20x + (-3 * -3 + 2x * -3)
-60 + 32x = -15 + 20x + (9 + -6x)

Reorder the terms:
-60 + 32x = -15 + 9 + 20x + -6x

Combine like terms: -15 + 9 = -6
-60 + 32x = -6 + 20x + -6x

Combine like terms: 20x + -6x = 14x
-60 + 32x = -6 + 14x

Solving
-60 + 32x = -6 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-60 + 32x + -14x = -6 + 14x + -14x

Combine like terms: 32x + -14x = 18x
-60 + 18x = -6 + 14x + -14x

Combine like terms: 14x + -14x = 0
-60 + 18x = -6 + 0
-60 + 18x = -6

Add '60' to each side of the equation.
-60 + 60 + 18x = -6 + 60

Combine like terms: -60 + 60 = 0
0 + 18x = -6 + 60
18x = -6 + 60

Combine like terms: -6 + 60 = 54
18x = 54

Divide each side by '18'.
x = 3

Simplifying
x = 3

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