4(3x+5)-6(3x-5)=10x+3(2x-8)

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Solution for 4(3x+5)-6(3x-5)=10x+3(2x-8) equation:


Simplifying
4(3x + 5) + -6(3x + -5) = 10x + 3(2x + -8)

Reorder the terms:
4(5 + 3x) + -6(3x + -5) = 10x + 3(2x + -8)
(5 * 4 + 3x * 4) + -6(3x + -5) = 10x + 3(2x + -8)
(20 + 12x) + -6(3x + -5) = 10x + 3(2x + -8)

Reorder the terms:
20 + 12x + -6(-5 + 3x) = 10x + 3(2x + -8)
20 + 12x + (-5 * -6 + 3x * -6) = 10x + 3(2x + -8)
20 + 12x + (30 + -18x) = 10x + 3(2x + -8)

Reorder the terms:
20 + 30 + 12x + -18x = 10x + 3(2x + -8)

Combine like terms: 20 + 30 = 50
50 + 12x + -18x = 10x + 3(2x + -8)

Combine like terms: 12x + -18x = -6x
50 + -6x = 10x + 3(2x + -8)

Reorder the terms:
50 + -6x = 10x + 3(-8 + 2x)
50 + -6x = 10x + (-8 * 3 + 2x * 3)
50 + -6x = 10x + (-24 + 6x)

Reorder the terms:
50 + -6x = -24 + 10x + 6x

Combine like terms: 10x + 6x = 16x
50 + -6x = -24 + 16x

Solving
50 + -6x = -24 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
50 + -6x + -16x = -24 + 16x + -16x

Combine like terms: -6x + -16x = -22x
50 + -22x = -24 + 16x + -16x

Combine like terms: 16x + -16x = 0
50 + -22x = -24 + 0
50 + -22x = -24

Add '-50' to each side of the equation.
50 + -50 + -22x = -24 + -50

Combine like terms: 50 + -50 = 0
0 + -22x = -24 + -50
-22x = -24 + -50

Combine like terms: -24 + -50 = -74
-22x = -74

Divide each side by '-22'.
x = 3.363636364

Simplifying
x = 3.363636364

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