3(x-4)+2(x-6)=8(2x-5)-3(4-2x)

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Solution for 3(x-4)+2(x-6)=8(2x-5)-3(4-2x) equation:


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

Reorder the terms:
3(-4 + x) + 2(x + -6) = 8(2x + -5) + -3(4 + -2x)
(-4 * 3 + x * 3) + 2(x + -6) = 8(2x + -5) + -3(4 + -2x)
(-12 + 3x) + 2(x + -6) = 8(2x + -5) + -3(4 + -2x)

Reorder the terms:
-12 + 3x + 2(-6 + x) = 8(2x + -5) + -3(4 + -2x)
-12 + 3x + (-6 * 2 + x * 2) = 8(2x + -5) + -3(4 + -2x)
-12 + 3x + (-12 + 2x) = 8(2x + -5) + -3(4 + -2x)

Reorder the terms:
-12 + -12 + 3x + 2x = 8(2x + -5) + -3(4 + -2x)

Combine like terms: -12 + -12 = -24
-24 + 3x + 2x = 8(2x + -5) + -3(4 + -2x)

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

Reorder the terms:
-24 + 5x = 8(-5 + 2x) + -3(4 + -2x)
-24 + 5x = (-5 * 8 + 2x * 8) + -3(4 + -2x)
-24 + 5x = (-40 + 16x) + -3(4 + -2x)
-24 + 5x = -40 + 16x + (4 * -3 + -2x * -3)
-24 + 5x = -40 + 16x + (-12 + 6x)

Reorder the terms:
-24 + 5x = -40 + -12 + 16x + 6x

Combine like terms: -40 + -12 = -52
-24 + 5x = -52 + 16x + 6x

Combine like terms: 16x + 6x = 22x
-24 + 5x = -52 + 22x

Solving
-24 + 5x = -52 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-24 + 5x + -22x = -52 + 22x + -22x

Combine like terms: 5x + -22x = -17x
-24 + -17x = -52 + 22x + -22x

Combine like terms: 22x + -22x = 0
-24 + -17x = -52 + 0
-24 + -17x = -52

Add '24' to each side of the equation.
-24 + 24 + -17x = -52 + 24

Combine like terms: -24 + 24 = 0
0 + -17x = -52 + 24
-17x = -52 + 24

Combine like terms: -52 + 24 = -28
-17x = -28

Divide each side by '-17'.
x = 1.647058824

Simplifying
x = 1.647058824

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